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Finding the Fourth Proportional to 477,142.38, 658,457.85 and 273,196.44

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Solution

The fourth proportional to 477,142.38, 658,457.85 and 273,196.44 is: 377,011.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,142.38 : 658,457.85 = 273,196.44 : x
  2. Step 2: Convert to fraction form
    477,142.38/658,457.85 = 273,196.44/x
  3. Step 3: Cross multiply
    477,142.38x = 658,457.85 × 273,196.44
  4. Step 4: Simplify right side
    477,142.38x = 179,888,340,510.05
  5. Step 5: Solve for x
    x = 179,888,340,510.05/477,142.38
  6. Step 6: Final answer
    x = 377,011.87

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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.