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Finding the Fourth Proportional to 406,218.27, 560,587.11 and 224,929.85

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Solution

The fourth proportional to 406,218.27, 560,587.11 and 224,929.85 is: 310,406.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,218.27 : 560,587.11 = 224,929.85 : x
  2. Step 2: Convert to fraction form
    406,218.27/560,587.11 = 224,929.85/x
  3. Step 3: Cross multiply
    406,218.27x = 560,587.11 × 224,929.85
  4. Step 4: Simplify right side
    406,218.27x = 126,092,774,564.23
  5. Step 5: Solve for x
    x = 126,092,774,564.23/406,218.27
  6. Step 6: Final answer
    x = 310,406.46

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