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Finding the Fourth Proportional to 406,254.77, 560,624.65 and 224,962.80

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Solution

The fourth proportional to 406,254.77, 560,624.65 and 224,962.80 is: 310,444.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,254.77 : 560,624.65 = 224,962.80 : x
  2. Step 2: Convert to fraction form
    406,254.77/560,624.65 = 224,962.80/x
  3. Step 3: Cross multiply
    406,254.77x = 560,624.65 × 224,962.80
  4. Step 4: Simplify right side
    406,254.77x = 126,119,691,013.02
  5. Step 5: Solve for x
    x = 126,119,691,013.02/406,254.77
  6. Step 6: Final answer
    x = 310,444.83

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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.