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Finding the Fourth Proportional to 310,532.40, 465,098.76 and 185,610.96

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Solution

The fourth proportional to 310,532.40, 465,098.76 and 185,610.96 is: 277,998.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,532.40 : 465,098.76 = 185,610.96 : x
  2. Step 2: Convert to fraction form
    310,532.40/465,098.76 = 185,610.96/x
  3. Step 3: Cross multiply
    310,532.40x = 465,098.76 × 185,610.96
  4. Step 4: Simplify right side
    310,532.40x = 86,327,427,338.41
  5. Step 5: Solve for x
    x = 86,327,427,338.41/310,532.40
  6. Step 6: Final answer
    x = 277,998.13

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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.