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Finding the Fourth Proportional to 207,971.20, 312,033.60 and 200,291.20

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Solution

The fourth proportional to 207,971.20, 312,033.60 and 200,291.20 is: 300,510.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,971.20 : 312,033.60 = 200,291.20 : x
  2. Step 2: Convert to fraction form
    207,971.20/312,033.60 = 200,291.20/x
  3. Step 3: Cross multiply
    207,971.20x = 312,033.60 × 200,291.20
  4. Step 4: Simplify right side
    207,971.20x = 62,497,584,184.32
  5. Step 5: Solve for x
    x = 62,497,584,184.32/207,971.20
  6. Step 6: Final answer
    x = 300,510.76

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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.