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Finding the Fourth Proportional to 297,207.50, 410,146.31 and 169,885.83

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Solution

The fourth proportional to 297,207.50, 410,146.31 and 169,885.83 is: 234,442.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,207.50 : 410,146.31 = 169,885.83 : x
  2. Step 2: Convert to fraction form
    297,207.50/410,146.31 = 169,885.83/x
  3. Step 3: Cross multiply
    297,207.50x = 410,146.31 × 169,885.83
  4. Step 4: Simplify right side
    297,207.50x = 69,678,046,295.79
  5. Step 5: Solve for x
    x = 69,678,046,295.79/297,207.50
  6. Step 6: Final answer
    x = 234,442.42

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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.