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Finding the Fourth Proportional to 562,041.12, 775,262.16 and 392,213.28

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Solution

The fourth proportional to 562,041.12, 775,262.16 and 392,213.28 is: 541,006.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,041.12 : 775,262.16 = 392,213.28 : x
  2. Step 2: Convert to fraction form
    562,041.12/775,262.16 = 392,213.28/x
  3. Step 3: Cross multiply
    562,041.12x = 775,262.16 × 392,213.28
  4. Step 4: Simplify right side
    562,041.12x = 304,068,114,633.49
  5. Step 5: Solve for x
    x = 304,068,114,633.49/562,041.12
  6. Step 6: Final answer
    x = 541,006.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.