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Finding the Fourth Proportional to 347,714.52, 521,653.14 and 107,815.80

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Solution

The fourth proportional to 347,714.52, 521,653.14 and 107,815.80 is: 161,748.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,714.52 : 521,653.14 = 107,815.80 : x
  2. Step 2: Convert to fraction form
    347,714.52/521,653.14 = 107,815.80/x
  3. Step 3: Cross multiply
    347,714.52x = 521,653.14 × 107,815.80
  4. Step 4: Simplify right side
    347,714.52x = 56,242,450,611.61
  5. Step 5: Solve for x
    x = 56,242,450,611.61/347,714.52
  6. Step 6: Final answer
    x = 161,748.93

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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.