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Finding the Fourth Proportional to 527,154.49, 727,580.51 and 357,443.29

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Solution

The fourth proportional to 527,154.49, 727,580.51 and 357,443.29 is: 493,344.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,154.49 : 727,580.51 = 357,443.29 : x
  2. Step 2: Convert to fraction form
    527,154.49/727,580.51 = 357,443.29/x
  3. Step 3: Cross multiply
    527,154.49x = 727,580.51 × 357,443.29
  4. Step 4: Simplify right side
    527,154.49x = 260,068,771,234.28
  5. Step 5: Solve for x
    x = 260,068,771,234.28/527,154.49
  6. Step 6: Final answer
    x = 493,344.51

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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.