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Finding the Fourth Proportional to 485,057.40, 727,715.70 and 432,828.60

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Solution

The fourth proportional to 485,057.40, 727,715.70 and 432,828.60 is: 649,358.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,057.40 : 727,715.70 = 432,828.60 : x
  2. Step 2: Convert to fraction form
    485,057.40/727,715.70 = 432,828.60/x
  3. Step 3: Cross multiply
    485,057.40x = 727,715.70 × 432,828.60
  4. Step 4: Simplify right side
    485,057.40x = 314,976,167,629.02
  5. Step 5: Solve for x
    x = 314,976,167,629.02/485,057.40
  6. Step 6: Final answer
    x = 649,358.55

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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.