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Finding the Fourth Proportional to 406,058.12, 560,355.36 and 224,770.40

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Solution

The fourth proportional to 406,058.12, 560,355.36 and 224,770.40 is: 310,180.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,058.12 : 560,355.36 = 224,770.40 : x
  2. Step 2: Convert to fraction form
    406,058.12/560,355.36 = 224,770.40/x
  3. Step 3: Cross multiply
    406,058.12x = 560,355.36 × 224,770.40
  4. Step 4: Simplify right side
    406,058.12x = 125,951,298,409.34
  5. Step 5: Solve for x
    x = 125,951,298,409.34/406,058.12
  6. Step 6: Final answer
    x = 310,180.47

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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.