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Finding the Fourth Proportional to 406,184.78, 560,552.50 and 224,896.70

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Solution

The fourth proportional to 406,184.78, 560,552.50 and 224,896.70 is: 310,367.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,184.78 : 560,552.50 = 224,896.70 : x
  2. Step 2: Convert to fraction form
    406,184.78/560,552.50 = 224,896.70/x
  3. Step 3: Cross multiply
    406,184.78x = 560,552.50 × 224,896.70
  4. Step 4: Simplify right side
    406,184.78x = 126,066,408,265.89
  5. Step 5: Solve for x
    x = 126,066,408,265.89/406,184.78
  6. Step 6: Final answer
    x = 310,367.14

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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.