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Finding the Fourth Proportional to 406,035.50, 560,314.70 and 224,747.78

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Solution

The fourth proportional to 406,035.50, 560,314.70 and 224,747.78 is: 310,144.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,035.50 : 560,314.70 = 224,747.78 : x
  2. Step 2: Convert to fraction form
    406,035.50/560,314.70 = 224,747.78/x
  3. Step 3: Cross multiply
    406,035.50x = 560,314.70 × 224,747.78
  4. Step 4: Simplify right side
    406,035.50x = 125,929,484,926.37
  5. Step 5: Solve for x
    x = 125,929,484,926.37/406,035.50
  6. Step 6: Final answer
    x = 310,144.03

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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.