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Finding the Fourth Proportional to 448,686.68, 672,884.40 and 149,086.82

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Solution

The fourth proportional to 448,686.68, 672,884.40 and 149,086.82 is: 223,581.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,686.68 : 672,884.40 = 149,086.82 : x
  2. Step 2: Convert to fraction form
    448,686.68/672,884.40 = 149,086.82/x
  3. Step 3: Cross multiply
    448,686.68x = 672,884.40 × 149,086.82
  4. Step 4: Simplify right side
    448,686.68x = 100,318,195,423.61
  5. Step 5: Solve for x
    x = 100,318,195,423.61/448,686.68
  6. Step 6: Final answer
    x = 223,581.84

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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.