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Finding the Fourth Proportional to 477,146.16, 658,469.88 and 262,295.28

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Solution

The fourth proportional to 477,146.16, 658,469.88 and 262,295.28 is: 361,971.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,146.16 : 658,469.88 = 262,295.28 : x
  2. Step 2: Convert to fraction form
    477,146.16/658,469.88 = 262,295.28/x
  3. Step 3: Cross multiply
    477,146.16x = 658,469.88 × 262,295.28
  4. Step 4: Simplify right side
    477,146.16x = 172,713,541,546.17
  5. Step 5: Solve for x
    x = 172,713,541,546.17/477,146.16
  6. Step 6: Final answer
    x = 361,971.98

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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.