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Finding the Fourth Proportional to 527,516.47, 727,929.65 and 309,702.21

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Solution

The fourth proportional to 527,516.47, 727,929.65 and 309,702.21 is: 427,363.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,516.47 : 727,929.65 = 309,702.21 : x
  2. Step 2: Convert to fraction form
    527,516.47/727,929.65 = 309,702.21/x
  3. Step 3: Cross multiply
    527,516.47x = 727,929.65 × 309,702.21
  4. Step 4: Simplify right side
    527,516.47x = 225,441,421,329.53
  5. Step 5: Solve for x
    x = 225,441,421,329.53/527,516.47
  6. Step 6: Final answer
    x = 427,363.76

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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.