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Finding the Fourth Proportional to 521,343.88, 781,522.74 and 393,061.14

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Solution

The fourth proportional to 521,343.88, 781,522.74 and 393,061.14 is: 589,219.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,343.88 : 781,522.74 = 393,061.14 : x
  2. Step 2: Convert to fraction form
    521,343.88/781,522.74 = 393,061.14/x
  3. Step 3: Cross multiply
    521,343.88x = 781,522.74 × 393,061.14
  4. Step 4: Simplify right side
    521,343.88x = 307,186,219,120.32
  5. Step 5: Solve for x
    x = 307,186,219,120.32/521,343.88
  6. Step 6: Final answer
    x = 589,219.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.