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Finding the Fourth Proportional to 616,874.57, 924,915.43 and 257,293.49

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Solution

The fourth proportional to 616,874.57, 924,915.43 and 257,293.49 is: 385,774.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,874.57 : 924,915.43 = 257,293.49 : x
  2. Step 2: Convert to fraction form
    616,874.57/924,915.43 = 257,293.49/x
  3. Step 3: Cross multiply
    616,874.57x = 924,915.43 × 257,293.49
  4. Step 4: Simplify right side
    616,874.57x = 237,974,720,608.61
  5. Step 5: Solve for x
    x = 237,974,720,608.61/616,874.57
  6. Step 6: Final answer
    x = 385,774.90

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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.