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Finding the Fourth Proportional to 406,456.16, 561,183.24 and 253,726.88

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Solution

The fourth proportional to 406,456.16, 561,183.24 and 253,726.88 is: 350,313.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,456.16 : 561,183.24 = 253,726.88 : x
  2. Step 2: Convert to fraction form
    406,456.16/561,183.24 = 253,726.88/x
  3. Step 3: Cross multiply
    406,456.16x = 561,183.24 × 253,726.88
  4. Step 4: Simplify right side
    406,456.16x = 142,387,272,593.49
  5. Step 5: Solve for x
    x = 142,387,272,593.49/406,456.16
  6. Step 6: Final answer
    x = 350,313.97

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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.