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Finding the Fourth Proportional to 527,233.47, 727,582.59 and 285,516.29

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Solution

The fourth proportional to 527,233.47, 727,582.59 and 285,516.29 is: 394,012.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,233.47 : 727,582.59 = 285,516.29 : x
  2. Step 2: Convert to fraction form
    527,233.47/727,582.59 = 285,516.29/x
  3. Step 3: Cross multiply
    527,233.47x = 727,582.59 × 285,516.29
  4. Step 4: Simplify right side
    527,233.47x = 207,736,678,127.48
  5. Step 5: Solve for x
    x = 207,736,678,127.48/527,233.47
  6. Step 6: Final answer
    x = 394,012.69

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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.