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Finding the Fourth Proportional to 527,134.65, 727,442.76 and 285,412.23

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Solution

The fourth proportional to 527,134.65, 727,442.76 and 285,412.23 is: 393,867.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,134.65 : 727,442.76 = 285,412.23 : x
  2. Step 2: Convert to fraction form
    527,134.65/727,442.76 = 285,412.23/x
  3. Step 3: Cross multiply
    527,134.65x = 727,442.76 × 285,412.23
  4. Step 4: Simplify right side
    527,134.65x = 207,621,060,328.96
  5. Step 5: Solve for x
    x = 207,621,060,328.96/527,134.65
  6. Step 6: Final answer
    x = 393,867.22

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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.