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Finding the Fourth Proportional to 306,981.87, 460,546.53 and 117,439.13

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Solution

The fourth proportional to 306,981.87, 460,546.53 and 117,439.13 is: 176,186.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,981.87 : 460,546.53 = 117,439.13 : x
  2. Step 2: Convert to fraction form
    306,981.87/460,546.53 = 117,439.13/x
  3. Step 3: Cross multiply
    306,981.87x = 460,546.53 × 117,439.13
  4. Step 4: Simplify right side
    306,981.87x = 54,086,183,807.72
  5. Step 5: Solve for x
    x = 54,086,183,807.72/306,981.87
  6. Step 6: Final answer
    x = 176,186.90

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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.