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Finding the Fourth Proportional to 527,102.32, 727,401.63 and 285,385.06

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Solution

The fourth proportional to 527,102.32, 727,401.63 and 285,385.06 is: 393,831.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,102.32 : 727,401.63 = 285,385.06 : x
  2. Step 2: Convert to fraction form
    527,102.32/727,401.63 = 285,385.06/x
  3. Step 3: Cross multiply
    527,102.32x = 727,401.63 × 285,385.06
  4. Step 4: Simplify right side
    527,102.32x = 207,589,557,821.65
  5. Step 5: Solve for x
    x = 207,589,557,821.65/527,102.32
  6. Step 6: Final answer
    x = 393,831.61

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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.