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Finding the Fourth Proportional to 406,234.48, 560,588.16 and 224,932

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Solution

The fourth proportional to 406,234.48, 560,588.16 and 224,932 is: 310,397.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,234.48 : 560,588.16 = 224,932 : x
  2. Step 2: Convert to fraction form
    406,234.48/560,588.16 = 224,932/x
  3. Step 3: Cross multiply
    406,234.48x = 560,588.16 × 224,932
  4. Step 4: Simplify right side
    406,234.48x = 126,094,216,005.12
  5. Step 5: Solve for x
    x = 126,094,216,005.12/406,234.48
  6. Step 6: Final answer
    x = 310,397.62

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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.