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Finding the Fourth Proportional to 535,306.05, 739,009.24 and 413,429.13

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Solution

The fourth proportional to 535,306.05, 739,009.24 and 413,429.13 is: 570,753.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,306.05 : 739,009.24 = 413,429.13 : x
  2. Step 2: Convert to fraction form
    535,306.05/739,009.24 = 413,429.13/x
  3. Step 3: Cross multiply
    535,306.05x = 739,009.24 × 413,429.13
  4. Step 4: Simplify right side
    535,306.05x = 305,527,946,121.59
  5. Step 5: Solve for x
    x = 305,527,946,121.59/535,306.05
  6. Step 6: Final answer
    x = 570,753.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.