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Finding the Fourth Proportional to 406,253.75, 560,629.27 and 234,170.57

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Solution

The fourth proportional to 406,253.75, 560,629.27 and 234,170.57 is: 323,154.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,253.75 : 560,629.27 = 234,170.57 : x
  2. Step 2: Convert to fraction form
    406,253.75/560,629.27 = 234,170.57/x
  3. Step 3: Cross multiply
    406,253.75x = 560,629.27 × 234,170.57
  4. Step 4: Simplify right side
    406,253.75x = 131,282,874,514.89
  5. Step 5: Solve for x
    x = 131,282,874,514.89/406,253.75
  6. Step 6: Final answer
    x = 323,154.87

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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.