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Finding the Fourth Proportional to 512,154.38, 706,769.01 and 297,314.42

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Solution

The fourth proportional to 512,154.38, 706,769.01 and 297,314.42 is: 410,291.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,154.38 : 706,769.01 = 297,314.42 : x
  2. Step 2: Convert to fraction form
    512,154.38/706,769.01 = 297,314.42/x
  3. Step 3: Cross multiply
    512,154.38x = 706,769.01 × 297,314.42
  4. Step 4: Simplify right side
    512,154.38x = 210,132,618,282.12
  5. Step 5: Solve for x
    x = 210,132,618,282.12/512,154.38
  6. Step 6: Final answer
    x = 410,291.56

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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.