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Finding the Fourth Proportional to 306,973.68, 460,522.98 and 129,481.32

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Solution

The fourth proportional to 306,973.68, 460,522.98 and 129,481.32 is: 194,248.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,973.68 : 460,522.98 = 129,481.32 : x
  2. Step 2: Convert to fraction form
    306,973.68/460,522.98 = 129,481.32/x
  3. Step 3: Cross multiply
    306,973.68x = 460,522.98 × 129,481.32
  4. Step 4: Simplify right side
    306,973.68x = 59,629,123,340.73
  5. Step 5: Solve for x
    x = 59,629,123,340.73/306,973.68
  6. Step 6: Final answer
    x = 194,248.33

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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.