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Finding the Fourth Proportional to 370,204.32, 510,882 and 200,438.40

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Solution

The fourth proportional to 370,204.32, 510,882 and 200,438.40 is: 276,605.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,204.32 : 510,882 = 200,438.40 : x
  2. Step 2: Convert to fraction form
    370,204.32/510,882 = 200,438.40/x
  3. Step 3: Cross multiply
    370,204.32x = 510,882 × 200,438.40
  4. Step 4: Simplify right side
    370,204.32x = 102,400,370,668.80
  5. Step 5: Solve for x
    x = 102,400,370,668.80/370,204.32
  6. Step 6: Final answer
    x = 276,605.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.