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Finding the Fourth Proportional to 402,171.80, 603,257.70 and 307,693.40

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Solution

The fourth proportional to 402,171.80, 603,257.70 and 307,693.40 is: 461,540.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,171.80 : 603,257.70 = 307,693.40 : x
  2. Step 2: Convert to fraction form
    402,171.80/603,257.70 = 307,693.40/x
  3. Step 3: Cross multiply
    402,171.80x = 603,257.70 × 307,693.40
  4. Step 4: Simplify right side
    402,171.80x = 185,618,412,789.18
  5. Step 5: Solve for x
    x = 185,618,412,789.18/402,171.80
  6. Step 6: Final answer
    x = 461,540.10

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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.