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Finding the Fourth Proportional to 406,193.94, 560,565.12 and 224,905.82

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Solution

The fourth proportional to 406,193.94, 560,565.12 and 224,905.82 is: 310,379.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,193.94 : 560,565.12 = 224,905.82 : x
  2. Step 2: Convert to fraction form
    406,193.94/560,565.12 = 224,905.82/x
  3. Step 3: Cross multiply
    406,193.94x = 560,565.12 × 224,905.82
  4. Step 4: Simplify right side
    406,193.94x = 126,074,356,017.57
  5. Step 5: Solve for x
    x = 126,074,356,017.57/406,193.94
  6. Step 6: Final answer
    x = 310,379.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.