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Finding the Fourth Proportional to 580,375.13, 801,235.47 and 406,213.38

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Solution

The fourth proportional to 580,375.13, 801,235.47 and 406,213.38 is: 560,796.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,375.13 : 801,235.47 = 406,213.38 : x
  2. Step 2: Convert to fraction form
    580,375.13/801,235.47 = 406,213.38/x
  3. Step 3: Cross multiply
    580,375.13x = 801,235.47 × 406,213.38
  4. Step 4: Simplify right side
    580,375.13x = 325,472,568,825.41
  5. Step 5: Solve for x
    x = 325,472,568,825.41/580,375.13
  6. Step 6: Final answer
    x = 560,796.90

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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.