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Finding the Fourth Proportional to 297,540.74, 410,609.13 and 163,404.74

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Solution

The fourth proportional to 297,540.74, 410,609.13 and 163,404.74 is: 225,500.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,540.74 : 410,609.13 = 163,404.74 : x
  2. Step 2: Convert to fraction form
    297,540.74/410,609.13 = 163,404.74/x
  3. Step 3: Cross multiply
    297,540.74x = 410,609.13 × 163,404.74
  4. Step 4: Simplify right side
    297,540.74x = 67,095,478,129.28
  5. Step 5: Solve for x
    x = 67,095,478,129.28/297,540.74
  6. Step 6: Final answer
    x = 225,500.14

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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.