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Finding the Fourth Proportional to 500,180.39, 750,411.08 and 200,871.14

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Solution

The fourth proportional to 500,180.39, 750,411.08 and 200,871.14 is: 301,363.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,180.39 : 750,411.08 = 200,871.14 : x
  2. Step 2: Convert to fraction form
    500,180.39/750,411.08 = 200,871.14/x
  3. Step 3: Cross multiply
    500,180.39x = 750,411.08 × 200,871.14
  4. Step 4: Simplify right side
    500,180.39x = 150,735,928,103.88
  5. Step 5: Solve for x
    x = 150,735,928,103.88/500,180.39
  6. Step 6: Final answer
    x = 301,363.13

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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.