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Finding the Fourth Proportional to 310,517.82, 465,875.14 and 110,833.78

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Solution

The fourth proportional to 310,517.82, 465,875.14 and 110,833.78 is: 166,285.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,517.82 : 465,875.14 = 110,833.78 : x
  2. Step 2: Convert to fraction form
    310,517.82/465,875.14 = 110,833.78/x
  3. Step 3: Cross multiply
    310,517.82x = 465,875.14 × 110,833.78
  4. Step 4: Simplify right side
    310,517.82x = 51,634,702,774.23
  5. Step 5: Solve for x
    x = 51,634,702,774.23/310,517.82
  6. Step 6: Final answer
    x = 166,285.80

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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.