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Finding the Fourth Proportional to 406,480.68, 560,947.23 and 225,196.47

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Solution

The fourth proportional to 406,480.68, 560,947.23 and 225,196.47 is: 310,773.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,480.68 : 560,947.23 = 225,196.47 : x
  2. Step 2: Convert to fraction form
    406,480.68/560,947.23 = 225,196.47/x
  3. Step 3: Cross multiply
    406,480.68x = 560,947.23 × 225,196.47
  4. Step 4: Simplify right side
    406,480.68x = 126,323,336,052.28
  5. Step 5: Solve for x
    x = 126,323,336,052.28/406,480.68
  6. Step 6: Final answer
    x = 310,773.28

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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.