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Finding the Fourth Proportional to 406,255.40, 560,625.52 and 224,963.42

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Solution

The fourth proportional to 406,255.40, 560,625.52 and 224,963.42 is: 310,445.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,255.40 : 560,625.52 = 224,963.42 : x
  2. Step 2: Convert to fraction form
    406,255.40/560,625.52 = 224,963.42/x
  3. Step 3: Cross multiply
    406,255.40x = 560,625.52 × 224,963.42
  4. Step 4: Simplify right side
    406,255.40x = 126,120,233,193.66
  5. Step 5: Solve for x
    x = 126,120,233,193.66/406,255.40
  6. Step 6: Final answer
    x = 310,445.68

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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.