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Finding the Fourth Proportional to 276,478.68, 414,834.66 and 164,373.06

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Solution

The fourth proportional to 276,478.68, 414,834.66 and 164,373.06 is: 246,628.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,478.68 : 414,834.66 = 164,373.06 : x
  2. Step 2: Convert to fraction form
    276,478.68/414,834.66 = 164,373.06/x
  3. Step 3: Cross multiply
    276,478.68x = 414,834.66 × 164,373.06
  4. Step 4: Simplify right side
    276,478.68x = 68,187,642,458.26
  5. Step 5: Solve for x
    x = 68,187,642,458.26/276,478.68
  6. Step 6: Final answer
    x = 246,628.94

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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.