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Finding the Fourth Proportional to 406,185.47, 560,497.04 and 224,890.76

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Solution

The fourth proportional to 406,185.47, 560,497.04 and 224,890.76 is: 310,327.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,185.47 : 560,497.04 = 224,890.76 : x
  2. Step 2: Convert to fraction form
    406,185.47/560,497.04 = 224,890.76/x
  3. Step 3: Cross multiply
    406,185.47x = 560,497.04 × 224,890.76
  4. Step 4: Simplify right side
    406,185.47x = 126,050,601,376.41
  5. Step 5: Solve for x
    x = 126,050,601,376.41/406,185.47
  6. Step 6: Final answer
    x = 310,327.70

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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.