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Finding the Fourth Proportional to 616,093.65, 924,471.32 and 256,512.74

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Solution

The fourth proportional to 616,093.65, 924,471.32 and 256,512.74 is: 384,906.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,093.65 : 924,471.32 = 256,512.74 : x
  2. Step 2: Convert to fraction form
    616,093.65/924,471.32 = 256,512.74/x
  3. Step 3: Cross multiply
    616,093.65x = 924,471.32 × 256,512.74
  4. Step 4: Simplify right side
    616,093.65x = 237,138,665,439.70
  5. Step 5: Solve for x
    x = 237,138,665,439.70/616,093.65
  6. Step 6: Final answer
    x = 384,906.85

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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.