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Finding the Fourth Proportional to 347,663.24, 521,714.25 and 147,983.31

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Solution

The fourth proportional to 347,663.24, 521,714.25 and 147,983.31 is: 222,068.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,663.24 : 521,714.25 = 147,983.31 : x
  2. Step 2: Convert to fraction form
    347,663.24/521,714.25 = 147,983.31/x
  3. Step 3: Cross multiply
    347,663.24x = 521,714.25 × 147,983.31
  4. Step 4: Simplify right side
    347,663.24x = 77,205,001,589.17
  5. Step 5: Solve for x
    x = 77,205,001,589.17/347,663.24
  6. Step 6: Final answer
    x = 222,068.35

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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.