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Finding the Fourth Proportional to 406,377.41, 561,074.85 and 253,648.26

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Solution

The fourth proportional to 406,377.41, 561,074.85 and 253,648.26 is: 350,205.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,377.41 : 561,074.85 = 253,648.26 : x
  2. Step 2: Convert to fraction form
    406,377.41/561,074.85 = 253,648.26/x
  3. Step 3: Cross multiply
    406,377.41x = 561,074.85 × 253,648.26
  4. Step 4: Simplify right side
    406,377.41x = 142,315,659,432.26
  5. Step 5: Solve for x
    x = 142,315,659,432.26/406,377.41
  6. Step 6: Final answer
    x = 350,205.64

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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.