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Finding the Fourth Proportional to 406,100.04, 560,422.48 and 224,815

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Solution

The fourth proportional to 406,100.04, 560,422.48 and 224,815 is: 310,247.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,100.04 : 560,422.48 = 224,815 : x
  2. Step 2: Convert to fraction form
    406,100.04/560,422.48 = 224,815/x
  3. Step 3: Cross multiply
    406,100.04x = 560,422.48 × 224,815
  4. Step 4: Simplify right side
    406,100.04x = 125,991,379,841.20
  5. Step 5: Solve for x
    x = 125,991,379,841.20/406,100.04
  6. Step 6: Final answer
    x = 310,247.15

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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.