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Finding the Fourth Proportional to 406,230.48, 560,591.20 and 224,938.48

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Solution

The fourth proportional to 406,230.48, 560,591.20 and 224,938.48 is: 310,411.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,230.48 : 560,591.20 = 224,938.48 : x
  2. Step 2: Convert to fraction form
    406,230.48/560,591.20 = 224,938.48/x
  3. Step 3: Cross multiply
    406,230.48x = 560,591.20 × 224,938.48
  4. Step 4: Simplify right side
    406,230.48x = 126,098,532,429.38
  5. Step 5: Solve for x
    x = 126,098,532,429.38/406,230.48
  6. Step 6: Final answer
    x = 310,411.30

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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.