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Finding the Fourth Proportional to 588,654.20, 883,046.10 and 214,758.20

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Solution

The fourth proportional to 588,654.20, 883,046.10 and 214,758.20 is: 322,160.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,654.20 : 883,046.10 = 214,758.20 : x
  2. Step 2: Convert to fraction form
    588,654.20/883,046.10 = 214,758.20/x
  3. Step 3: Cross multiply
    588,654.20x = 883,046.10 × 214,758.20
  4. Step 4: Simplify right side
    588,654.20x = 189,641,390,953.02
  5. Step 5: Solve for x
    x = 189,641,390,953.02/588,654.20
  6. Step 6: Final answer
    x = 322,160.94

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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.