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Finding the Fourth Proportional to 477,079.94, 658,371.76 and 262,242.02

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Solution

The fourth proportional to 477,079.94, 658,371.76 and 262,242.02 is: 361,894.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,079.94 : 658,371.76 = 262,242.02 : x
  2. Step 2: Convert to fraction form
    477,079.94/658,371.76 = 262,242.02/x
  3. Step 3: Cross multiply
    477,079.94x = 658,371.76 × 262,242.02
  4. Step 4: Simplify right side
    477,079.94x = 172,652,741,243.68
  5. Step 5: Solve for x
    x = 172,652,741,243.68/477,079.94
  6. Step 6: Final answer
    x = 361,894.78

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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.