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Finding the Fourth Proportional to 532,200.80, 797,608.10 and 216,288.38

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Solution

The fourth proportional to 532,200.80, 797,608.10 and 216,288.38 is: 324,150.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,200.80 : 797,608.10 = 216,288.38 : x
  2. Step 2: Convert to fraction form
    532,200.80/797,608.10 = 216,288.38/x
  3. Step 3: Cross multiply
    532,200.80x = 797,608.10 × 216,288.38
  4. Step 4: Simplify right side
    532,200.80x = 172,513,358,754.40
  5. Step 5: Solve for x
    x = 172,513,358,754.40/532,200.80
  6. Step 6: Final answer
    x = 324,150.89

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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.