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Finding the Fourth Proportional to 406,034.12, 560,328.15 and 224,758.55

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Solution

The fourth proportional to 406,034.12, 560,328.15 and 224,758.55 is: 310,167.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,034.12 : 560,328.15 = 224,758.55 : x
  2. Step 2: Convert to fraction form
    406,034.12/560,328.15 = 224,758.55/x
  3. Step 3: Cross multiply
    406,034.12x = 560,328.15 × 224,758.55
  4. Step 4: Simplify right side
    406,034.12x = 125,938,539,716.54
  5. Step 5: Solve for x
    x = 125,938,539,716.54/406,034.12
  6. Step 6: Final answer
    x = 310,167.39

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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.