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Finding the Fourth Proportional to 310,835.88, 466,773.84 and 271,732.32

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Solution

The fourth proportional to 310,835.88, 466,773.84 and 271,732.32 is: 408,053.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,835.88 : 466,773.84 = 271,732.32 : x
  2. Step 2: Convert to fraction form
    310,835.88/466,773.84 = 271,732.32/x
  3. Step 3: Cross multiply
    310,835.88x = 466,773.84 × 271,732.32
  4. Step 4: Simplify right side
    310,835.88x = 126,837,538,458.51
  5. Step 5: Solve for x
    x = 126,837,538,458.51/310,835.88
  6. Step 6: Final answer
    x = 408,053.08

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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.