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Finding the Fourth Proportional to 406,407.52, 560,846.88 and 225,122.24

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Solution

The fourth proportional to 406,407.52, 560,846.88 and 225,122.24 is: 310,671.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,407.52 : 560,846.88 = 225,122.24 : x
  2. Step 2: Convert to fraction form
    406,407.52/560,846.88 = 225,122.24/x
  3. Step 3: Cross multiply
    406,407.52x = 560,846.88 × 225,122.24
  4. Step 4: Simplify right side
    406,407.52x = 126,259,105,922.61
  5. Step 5: Solve for x
    x = 126,259,105,922.61/406,407.52
  6. Step 6: Final answer
    x = 310,671.19

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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.