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Finding the Fourth Proportional to 306,799.65, 460,230.89 and 117,419.28

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Solution

The fourth proportional to 306,799.65, 460,230.89 and 117,419.28 is: 176,140.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,799.65 : 460,230.89 = 117,419.28 : x
  2. Step 2: Convert to fraction form
    306,799.65/460,230.89 = 117,419.28/x
  3. Step 3: Cross multiply
    306,799.65x = 460,230.89 × 117,419.28
  4. Step 4: Simplify right side
    306,799.65x = 54,039,979,737.56
  5. Step 5: Solve for x
    x = 54,039,979,737.56/306,799.65
  6. Step 6: Final answer
    x = 176,140.94

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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.