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Finding the Fourth Proportional to 461,334.20, 692,001.30 and 450,966.20

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Solution

The fourth proportional to 461,334.20, 692,001.30 and 450,966.20 is: 676,449.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,334.20 : 692,001.30 = 450,966.20 : x
  2. Step 2: Convert to fraction form
    461,334.20/692,001.30 = 450,966.20/x
  3. Step 3: Cross multiply
    461,334.20x = 692,001.30 × 450,966.20
  4. Step 4: Simplify right side
    461,334.20x = 312,069,196,656.06
  5. Step 5: Solve for x
    x = 312,069,196,656.06/461,334.20
  6. Step 6: Final answer
    x = 676,449.30

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.