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Finding the Fourth Proportional to 410,516.20, 616,407.90 and 223,892.20

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Solution

The fourth proportional to 410,516.20, 616,407.90 and 223,892.20 is: 336,183.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,516.20 : 616,407.90 = 223,892.20 : x
  2. Step 2: Convert to fraction form
    410,516.20/616,407.90 = 223,892.20/x
  3. Step 3: Cross multiply
    410,516.20x = 616,407.90 × 223,892.20
  4. Step 4: Simplify right side
    410,516.20x = 138,008,920,828.38
  5. Step 5: Solve for x
    x = 138,008,920,828.38/410,516.20
  6. Step 6: Final answer
    x = 336,183.86

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1.5x scale

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.