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Finding the Fourth Proportional to 347,714.90, 521,151.14 and 147,615.20

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Solution

The fourth proportional to 347,714.90, 521,151.14 and 147,615.20 is: 221,243.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,714.90 : 521,151.14 = 147,615.20 : x
  2. Step 2: Convert to fraction form
    347,714.90/521,151.14 = 147,615.20/x
  3. Step 3: Cross multiply
    347,714.90x = 521,151.14 × 147,615.20
  4. Step 4: Simplify right side
    347,714.90x = 76,929,829,761.33
  5. Step 5: Solve for x
    x = 76,929,829,761.33/347,714.90
  6. Step 6: Final answer
    x = 221,243.98

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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.