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Finding the Fourth Proportional to 410,818.56, 616,218.12 and 107,207.88

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Solution

The fourth proportional to 410,818.56, 616,218.12 and 107,207.88 is: 160,809.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,818.56 : 616,218.12 = 107,207.88 : x
  2. Step 2: Convert to fraction form
    410,818.56/616,218.12 = 107,207.88/x
  3. Step 3: Cross multiply
    410,818.56x = 616,218.12 × 107,207.88
  4. Step 4: Simplify right side
    410,818.56x = 66,063,438,262.79
  5. Step 5: Solve for x
    x = 66,063,438,262.79/410,818.56
  6. Step 6: Final answer
    x = 160,809.28

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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.