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Finding the Fourth Proportional to 488,714.76, 732,842.06 and 189,335.52

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Solution

The fourth proportional to 488,714.76, 732,842.06 and 189,335.52 is: 283,914.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,714.76 : 732,842.06 = 189,335.52 : x
  2. Step 2: Convert to fraction form
    488,714.76/732,842.06 = 189,335.52/x
  3. Step 3: Cross multiply
    488,714.76x = 732,842.06 × 189,335.52
  4. Step 4: Simplify right side
    488,714.76x = 138,753,032,507.97
  5. Step 5: Solve for x
    x = 138,753,032,507.97/488,714.76
  6. Step 6: Final answer
    x = 283,914.14

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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.