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Finding the Fourth Proportional to 488,314.40, 732,034.20 and 319,915.40

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Solution

The fourth proportional to 488,314.40, 732,034.20 and 319,915.40 is: 479,586.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,314.40 : 732,034.20 = 319,915.40 : x
  2. Step 2: Convert to fraction form
    488,314.40/732,034.20 = 319,915.40/x
  3. Step 3: Cross multiply
    488,314.40x = 732,034.20 × 319,915.40
  4. Step 4: Simplify right side
    488,314.40x = 234,189,013,906.68
  5. Step 5: Solve for x
    x = 234,189,013,906.68/488,314.40
  6. Step 6: Final answer
    x = 479,586.54

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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.