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Finding the Fourth Proportional to 646,908.54, 969,119.13 and 361,734.17

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Solution

The fourth proportional to 646,908.54, 969,119.13 and 361,734.17 is: 541,905.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,908.54 : 969,119.13 = 361,734.17 : x
  2. Step 2: Convert to fraction form
    646,908.54/969,119.13 = 361,734.17/x
  3. Step 3: Cross multiply
    646,908.54x = 969,119.13 × 361,734.17
  4. Step 4: Simplify right side
    646,908.54x = 350,563,499,276.08
  5. Step 5: Solve for x
    x = 350,563,499,276.08/646,908.54
  6. Step 6: Final answer
    x = 541,905.81

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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.