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Finding the Fourth Proportional to 370,199.20, 510,874.24 and 200,433.28

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Solution

The fourth proportional to 370,199.20, 510,874.24 and 200,433.28 is: 276,597.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,199.20 : 510,874.24 = 200,433.28 : x
  2. Step 2: Convert to fraction form
    370,199.20/510,874.24 = 200,433.28/x
  3. Step 3: Cross multiply
    370,199.20x = 510,874.24 × 200,433.28
  4. Step 4: Simplify right side
    370,199.20x = 102,396,199,590.71
  5. Step 5: Solve for x
    x = 102,396,199,590.71/370,199.20
  6. Step 6: Final answer
    x = 276,597.57

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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.