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Finding the Fourth Proportional to 477,203.76, 658,541.70 and 262,347.48

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Solution

The fourth proportional to 477,203.76, 658,541.70 and 262,347.48 is: 362,039.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,203.76 : 658,541.70 = 262,347.48 : x
  2. Step 2: Convert to fraction form
    477,203.76/658,541.70 = 262,347.48/x
  3. Step 3: Cross multiply
    477,203.76x = 658,541.70 × 262,347.48
  4. Step 4: Simplify right side
    477,203.76x = 172,766,755,469.92
  5. Step 5: Solve for x
    x = 172,766,755,469.92/477,203.76
  6. Step 6: Final answer
    x = 362,039.80

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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.