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Finding the Fourth Proportional to 406,019.06, 560,292 and 224,731.34

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Solution

The fourth proportional to 406,019.06, 560,292 and 224,731.34 is: 310,121.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,019.06 : 560,292 = 224,731.34 : x
  2. Step 2: Convert to fraction form
    406,019.06/560,292 = 224,731.34/x
  3. Step 3: Cross multiply
    406,019.06x = 560,292 × 224,731.34
  4. Step 4: Simplify right side
    406,019.06x = 125,915,171,951.28
  5. Step 5: Solve for x
    x = 125,915,171,951.28/406,019.06
  6. Step 6: Final answer
    x = 310,121.33

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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.