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Finding the Fourth Proportional to 527,523.40, 727,981.32 and 285,812.14

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Solution

The fourth proportional to 527,523.40, 727,981.32 and 285,812.14 is: 394,420.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,523.40 : 727,981.32 = 285,812.14 : x
  2. Step 2: Convert to fraction form
    527,523.40/727,981.32 = 285,812.14/x
  3. Step 3: Cross multiply
    527,523.40x = 727,981.32 × 285,812.14
  4. Step 4: Simplify right side
    527,523.40x = 208,065,898,949.23
  5. Step 5: Solve for x
    x = 208,065,898,949.23/527,523.40
  6. Step 6: Final answer
    x = 394,420.23

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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.