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Finding the Fourth Proportional to 483,715.10, 725,574.35 and 146,758.61

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Solution

The fourth proportional to 483,715.10, 725,574.35 and 146,758.61 is: 220,138.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,715.10 : 725,574.35 = 146,758.61 : x
  2. Step 2: Convert to fraction form
    483,715.10/725,574.35 = 146,758.61/x
  3. Step 3: Cross multiply
    483,715.10x = 725,574.35 × 146,758.61
  4. Step 4: Simplify right side
    483,715.10x = 106,484,279,796.68
  5. Step 5: Solve for x
    x = 106,484,279,796.68/483,715.10
  6. Step 6: Final answer
    x = 220,138.43

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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.