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Finding the Fourth Proportional to 406,456.51, 560,909.91 and 225,180.22

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Solution

The fourth proportional to 406,456.51, 560,909.91 and 225,180.22 is: 310,748.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,456.51 : 560,909.91 = 225,180.22 : x
  2. Step 2: Convert to fraction form
    406,456.51/560,909.91 = 225,180.22/x
  3. Step 3: Cross multiply
    406,456.51x = 560,909.91 × 225,180.22
  4. Step 4: Simplify right side
    406,456.51x = 126,305,816,933.98
  5. Step 5: Solve for x
    x = 126,305,816,933.98/406,456.51
  6. Step 6: Final answer
    x = 310,748.66

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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.