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Finding the Fourth Proportional to 527,011.15, 727,274.54 and 285,293.66

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Solution

The fourth proportional to 527,011.15, 727,274.54 and 285,293.66 is: 393,704.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,011.15 : 727,274.54 = 285,293.66 : x
  2. Step 2: Convert to fraction form
    527,011.15/727,274.54 = 285,293.66/x
  3. Step 3: Cross multiply
    527,011.15x = 727,274.54 × 285,293.66
  4. Step 4: Simplify right side
    527,011.15x = 207,486,812,418.28
  5. Step 5: Solve for x
    x = 207,486,812,418.28/527,011.15
  6. Step 6: Final answer
    x = 393,704.79

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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.