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Finding the Fourth Proportional to 400,503.17, 600,659.85 and 147,646.28

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Solution

The fourth proportional to 400,503.17, 600,659.85 and 147,646.28 is: 221,434.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,503.17 : 600,659.85 = 147,646.28 : x
  2. Step 2: Convert to fraction form
    400,503.17/600,659.85 = 147,646.28/x
  3. Step 3: Cross multiply
    400,503.17x = 600,659.85 × 147,646.28
  4. Step 4: Simplify right side
    400,503.17x = 88,685,192,397.86
  5. Step 5: Solve for x
    x = 88,685,192,397.86/400,503.17
  6. Step 6: Final answer
    x = 221,434.43

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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.