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Finding the Fourth Proportional to 461,335.60, 692,003.40 and 414,096.40

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Solution

The fourth proportional to 461,335.60, 692,003.40 and 414,096.40 is: 621,144.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,335.60 : 692,003.40 = 414,096.40 : x
  2. Step 2: Convert to fraction form
    461,335.60/692,003.40 = 414,096.40/x
  3. Step 3: Cross multiply
    461,335.60x = 692,003.40 × 414,096.40
  4. Step 4: Simplify right side
    461,335.60x = 286,556,116,727.76
  5. Step 5: Solve for x
    x = 286,556,116,727.76/461,335.60
  6. Step 6: Final answer
    x = 621,144.60

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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.