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Finding the Fourth Proportional to 406,201.92, 560,538.72 and 224,908.80

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Solution

The fourth proportional to 406,201.92, 560,538.72 and 224,908.80 is: 310,363.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,201.92 : 560,538.72 = 224,908.80 : x
  2. Step 2: Convert to fraction form
    406,201.92/560,538.72 = 224,908.80/x
  3. Step 3: Cross multiply
    406,201.92x = 560,538.72 × 224,908.80
  4. Step 4: Simplify right side
    406,201.92x = 126,070,090,868.74
  5. Step 5: Solve for x
    x = 126,070,090,868.74/406,201.92
  6. Step 6: Final answer
    x = 310,363.11

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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.