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Finding the Fourth Proportional to 527,116.18, 727,419.24 and 285,398.98

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Solution

The fourth proportional to 527,116.18, 727,419.24 and 285,398.98 is: 393,850.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,116.18 : 727,419.24 = 285,398.98 : x
  2. Step 2: Convert to fraction form
    527,116.18/727,419.24 = 285,398.98/x
  3. Step 3: Cross multiply
    527,116.18x = 727,419.24 × 285,398.98
  4. Step 4: Simplify right side
    527,116.18x = 207,604,709,128.38
  5. Step 5: Solve for x
    x = 207,604,709,128.38/527,116.18
  6. Step 6: Final answer
    x = 393,850.00

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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.