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Finding the Fourth Proportional to 288,960.70, 432,857.85 and 200,314.30

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Solution

The fourth proportional to 288,960.70, 432,857.85 and 200,314.30 is: 300,067.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,960.70 : 432,857.85 = 200,314.30 : x
  2. Step 2: Convert to fraction form
    288,960.70/432,857.85 = 200,314.30/x
  3. Step 3: Cross multiply
    288,960.70x = 432,857.85 × 200,314.30
  4. Step 4: Simplify right side
    288,960.70x = 86,707,617,222.26
  5. Step 5: Solve for x
    x = 86,707,617,222.26/288,960.70
  6. Step 6: Final answer
    x = 300,067.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.