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Finding the Fourth Proportional to 656,458.68, 984,793.14 and 277,383.14

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Solution

The fourth proportional to 656,458.68, 984,793.14 and 277,383.14 is: 416,119.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,458.68 : 984,793.14 = 277,383.14 : x
  2. Step 2: Convert to fraction form
    656,458.68/984,793.14 = 277,383.14/x
  3. Step 3: Cross multiply
    656,458.68x = 984,793.14 × 277,383.14
  4. Step 4: Simplify right side
    656,458.68x = 273,165,013,423.66
  5. Step 5: Solve for x
    x = 273,165,013,423.66/656,458.68
  6. Step 6: Final answer
    x = 416,119.13

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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.