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Finding the Fourth Proportional to 414,207.78, 571,469.24 and 337,595.28

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Solution

The fourth proportional to 414,207.78, 571,469.24 and 337,595.28 is: 465,769.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,207.78 : 571,469.24 = 337,595.28 : x
  2. Step 2: Convert to fraction form
    414,207.78/571,469.24 = 337,595.28/x
  3. Step 3: Cross multiply
    414,207.78x = 571,469.24 × 337,595.28
  4. Step 4: Simplify right side
    414,207.78x = 192,925,318,089.19
  5. Step 5: Solve for x
    x = 192,925,318,089.19/414,207.78
  6. Step 6: Final answer
    x = 465,769.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.