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Finding the Fourth Proportional to 406,024.06, 560,298.90 and 224,736.34

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Solution

The fourth proportional to 406,024.06, 560,298.90 and 224,736.34 is: 310,128.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,024.06 : 560,298.90 = 224,736.34 : x
  2. Step 2: Convert to fraction form
    406,024.06/560,298.90 = 224,736.34/x
  3. Step 3: Cross multiply
    406,024.06x = 560,298.90 × 224,736.34
  4. Step 4: Simplify right side
    406,024.06x = 125,919,524,092.03
  5. Step 5: Solve for x
    x = 125,919,524,092.03/406,024.06
  6. Step 6: Final answer
    x = 310,128.23

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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.