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Finding the Fourth Proportional to 485,151.80, 727,727.70 and 433,830.20

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Solution

The fourth proportional to 485,151.80, 727,727.70 and 433,830.20 is: 650,745.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,151.80 : 727,727.70 = 433,830.20 : x
  2. Step 2: Convert to fraction form
    485,151.80/727,727.70 = 433,830.20/x
  3. Step 3: Cross multiply
    485,151.80x = 727,727.70 × 433,830.20
  4. Step 4: Simplify right side
    485,151.80x = 315,710,253,636.54
  5. Step 5: Solve for x
    x = 315,710,253,636.54/485,151.80
  6. Step 6: Final answer
    x = 650,745.30

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