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Finding the Fourth Proportional to 406,399.38, 560,824.76 and 222,636.48

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Solution

The fourth proportional to 406,399.38, 560,824.76 and 222,636.48 is: 307,234.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,399.38 : 560,824.76 = 222,636.48 : x
  2. Step 2: Convert to fraction form
    406,399.38/560,824.76 = 222,636.48/x
  3. Step 3: Cross multiply
    406,399.38x = 560,824.76 × 222,636.48
  4. Step 4: Simplify right side
    406,399.38x = 124,860,050,463.25
  5. Step 5: Solve for x
    x = 124,860,050,463.25/406,399.38
  6. Step 6: Final answer
    x = 307,234.84

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1.5x scale

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.