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Finding the Fourth Proportional to 318,865.80, 478,356.30 and 160,696.20

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Solution

The fourth proportional to 318,865.80, 478,356.30 and 160,696.20 is: 241,073.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,865.80 : 478,356.30 = 160,696.20 : x
  2. Step 2: Convert to fraction form
    318,865.80/478,356.30 = 160,696.20/x
  3. Step 3: Cross multiply
    318,865.80x = 478,356.30 × 160,696.20
  4. Step 4: Simplify right side
    318,865.80x = 76,870,039,656.06
  5. Step 5: Solve for x
    x = 76,870,039,656.06/318,865.80
  6. Step 6: Final answer
    x = 241,073.33

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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.