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Finding the Fourth Proportional to 409,897.38, 614,799.89 and 110,399.88

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Solution

The fourth proportional to 409,897.38, 614,799.89 and 110,399.88 is: 165,587.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,897.38 : 614,799.89 = 110,399.88 : x
  2. Step 2: Convert to fraction form
    409,897.38/614,799.89 = 110,399.88/x
  3. Step 3: Cross multiply
    409,897.38x = 614,799.89 × 110,399.88
  4. Step 4: Simplify right side
    409,897.38x = 67,873,834,080.01
  5. Step 5: Solve for x
    x = 67,873,834,080.01/409,897.38
  6. Step 6: Final answer
    x = 165,587.38

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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.