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Finding the Fourth Proportional to 476,712.92, 657,846.16 and 261,840.17

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Solution

The fourth proportional to 476,712.92, 657,846.16 and 261,840.17 is: 361,329.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,712.92 : 657,846.16 = 261,840.17 : x
  2. Step 2: Convert to fraction form
    476,712.92/657,846.16 = 261,840.17/x
  3. Step 3: Cross multiply
    476,712.92x = 657,846.16 × 261,840.17
  4. Step 4: Simplify right side
    476,712.92x = 172,250,551,358.26
  5. Step 5: Solve for x
    x = 172,250,551,358.26/476,712.92
  6. Step 6: Final answer
    x = 361,329.73

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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.