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Finding the Fourth Proportional to 527,092.54, 727,386.81 and 285,375.13

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Solution

The fourth proportional to 527,092.54, 727,386.81 and 285,375.13 is: 393,817.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,092.54 : 727,386.81 = 285,375.13 : x
  2. Step 2: Convert to fraction form
    527,092.54/727,386.81 = 285,375.13/x
  3. Step 3: Cross multiply
    527,092.54x = 727,386.81 × 285,375.13
  4. Step 4: Simplify right side
    527,092.54x = 207,578,105,464.04
  5. Step 5: Solve for x
    x = 207,578,105,464.04/527,092.54
  6. Step 6: Final answer
    x = 393,817.19

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Why These Related Problems?

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