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Finding the Fourth Proportional to 413,841.60, 619,708.32 and 273,170.88

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Solution

The fourth proportional to 413,841.60, 619,708.32 and 273,170.88 is: 409,060.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,841.60 : 619,708.32 = 273,170.88 : x
  2. Step 2: Convert to fraction form
    413,841.60/619,708.32 = 273,170.88/x
  3. Step 3: Cross multiply
    413,841.60x = 619,708.32 × 273,170.88
  4. Step 4: Simplify right side
    413,841.60x = 169,286,267,117.72
  5. Step 5: Solve for x
    x = 169,286,267,117.72/413,841.60
  6. Step 6: Final answer
    x = 409,060.54

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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.