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Finding the Fourth Proportional to 406,061.78, 560,358.45 and 224,769.81

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Solution

The fourth proportional to 406,061.78, 560,358.45 and 224,769.81 is: 310,178.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,061.78 : 560,358.45 = 224,769.81 : x
  2. Step 2: Convert to fraction form
    406,061.78/560,358.45 = 224,769.81/x
  3. Step 3: Cross multiply
    406,061.78x = 560,358.45 × 224,769.81
  4. Step 4: Simplify right side
    406,061.78x = 125,951,662,338.39
  5. Step 5: Solve for x
    x = 125,951,662,338.39/406,061.78
  6. Step 6: Final answer
    x = 310,178.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.