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Finding the Fourth Proportional to 488,381.40, 732,134.70 and 319,982.40

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Solution

The fourth proportional to 488,381.40, 732,134.70 and 319,982.40 is: 479,687.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,381.40 : 732,134.70 = 319,982.40 : x
  2. Step 2: Convert to fraction form
    488,381.40/732,134.70 = 319,982.40/x
  3. Step 3: Cross multiply
    488,381.40x = 732,134.70 × 319,982.40
  4. Step 4: Simplify right side
    488,381.40x = 234,270,218,429.28
  5. Step 5: Solve for x
    x = 234,270,218,429.28/488,381.40
  6. Step 6: Final answer
    x = 479,687.02

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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.