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Finding the Fourth Proportional to 477,042.47, 658,290.78 and 262,182.71

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Solution

The fourth proportional to 477,042.47, 658,290.78 and 262,182.71 is: 361,796.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,042.47 : 658,290.78 = 262,182.71 : x
  2. Step 2: Convert to fraction form
    477,042.47/658,290.78 = 262,182.71/x
  3. Step 3: Cross multiply
    477,042.47x = 658,290.78 × 262,182.71
  4. Step 4: Simplify right side
    477,042.47x = 172,592,457,376.96
  5. Step 5: Solve for x
    x = 172,592,457,376.96/477,042.47
  6. Step 6: Final answer
    x = 361,796.84

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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.