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Finding the Fourth Proportional to 485,053.40, 727,709.70 and 432,824.60

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Solution

The fourth proportional to 485,053.40, 727,709.70 and 432,824.60 is: 649,352.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,053.40 : 727,709.70 = 432,824.60 : x
  2. Step 2: Convert to fraction form
    485,053.40/727,709.70 = 432,824.60/x
  3. Step 3: Cross multiply
    485,053.40x = 727,709.70 × 432,824.60
  4. Step 4: Simplify right side
    485,053.40x = 314,970,659,818.62
  5. Step 5: Solve for x
    x = 314,970,659,818.62/485,053.40
  6. Step 6: Final answer
    x = 649,352.55

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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.