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Finding the Fourth Proportional to 477,961.20, 716,974.20 and 162,441.90

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Solution

The fourth proportional to 477,961.20, 716,974.20 and 162,441.90 is: 243,673.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,961.20 : 716,974.20 = 162,441.90 : x
  2. Step 2: Convert to fraction form
    477,961.20/716,974.20 = 162,441.90/x
  3. Step 3: Cross multiply
    477,961.20x = 716,974.20 × 162,441.90
  4. Step 4: Simplify right side
    477,961.20x = 116,466,651,298.98
  5. Step 5: Solve for x
    x = 116,466,651,298.98/477,961.20
  6. Step 6: Final answer
    x = 243,673.86

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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.