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Finding the Fourth Proportional to 406,176.78, 560,541.47 and 224,888.70

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Solution

The fourth proportional to 406,176.78, 560,541.47 and 224,888.70 is: 310,356.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,176.78 : 560,541.47 = 224,888.70 : x
  2. Step 2: Convert to fraction form
    406,176.78/560,541.47 = 224,888.70/x
  3. Step 3: Cross multiply
    406,176.78x = 560,541.47 × 224,888.70
  4. Step 4: Simplify right side
    406,176.78x = 126,059,444,305.31
  5. Step 5: Solve for x
    x = 126,059,444,305.31/406,176.78
  6. Step 6: Final answer
    x = 310,356.11

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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.