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Finding the Fourth Proportional to 527,423.61, 727,848.09 and 285,706.20

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Solution

The fourth proportional to 527,423.61, 727,848.09 and 285,706.20 is: 394,276.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,423.61 : 727,848.09 = 285,706.20 : x
  2. Step 2: Convert to fraction form
    527,423.61/727,848.09 = 285,706.20/x
  3. Step 3: Cross multiply
    527,423.61x = 727,848.09 × 285,706.20
  4. Step 4: Simplify right side
    527,423.61x = 207,950,710,542.63
  5. Step 5: Solve for x
    x = 207,950,710,542.63/527,423.61
  6. Step 6: Final answer
    x = 394,276.45

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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.