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Finding the Fourth Proportional to 316,759.52, 474,633.84 and 232,127.48

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Solution

The fourth proportional to 316,759.52, 474,633.84 and 232,127.48 is: 347,820.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,759.52 : 474,633.84 = 232,127.48 : x
  2. Step 2: Convert to fraction form
    316,759.52/474,633.84 = 232,127.48/x
  3. Step 3: Cross multiply
    316,759.52x = 474,633.84 × 232,127.48
  4. Step 4: Simplify right side
    316,759.52x = 110,175,557,201.92
  5. Step 5: Solve for x
    x = 110,175,557,201.92/316,759.52
  6. Step 6: Final answer
    x = 347,820.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.