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Finding the Fourth Proportional to 411,425.76, 567,740.82 and 230,106.30

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Solution

The fourth proportional to 411,425.76, 567,740.82 and 230,106.30 is: 317,531.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,425.76 : 567,740.82 = 230,106.30 : x
  2. Step 2: Convert to fraction form
    411,425.76/567,740.82 = 230,106.30/x
  3. Step 3: Cross multiply
    411,425.76x = 567,740.82 × 230,106.30
  4. Step 4: Simplify right side
    411,425.76x = 130,640,739,449.17
  5. Step 5: Solve for x
    x = 130,640,739,449.17/411,425.76
  6. Step 6: Final answer
    x = 317,531.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.