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Finding the Fourth Proportional to 564,279.80, 846,416.85 and 199,811.79

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Solution

The fourth proportional to 564,279.80, 846,416.85 and 199,811.79 is: 299,716.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,279.80 : 846,416.85 = 199,811.79 : x
  2. Step 2: Convert to fraction form
    564,279.80/846,416.85 = 199,811.79/x
  3. Step 3: Cross multiply
    564,279.80x = 846,416.85 × 199,811.79
  4. Step 4: Simplify right side
    564,279.80x = 169,124,065,884.66
  5. Step 5: Solve for x
    x = 169,124,065,884.66/564,279.80
  6. Step 6: Final answer
    x = 299,716.68

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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.