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Finding the Fourth Proportional to 451,178.36, 676,809.30 and 147,574.24

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Solution

The fourth proportional to 451,178.36, 676,809.30 and 147,574.24 is: 221,375.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,178.36 : 676,809.30 = 147,574.24 : x
  2. Step 2: Convert to fraction form
    451,178.36/676,809.30 = 147,574.24/x
  3. Step 3: Cross multiply
    451,178.36x = 676,809.30 × 147,574.24
  4. Step 4: Simplify right side
    451,178.36x = 99,879,619,471.85
  5. Step 5: Solve for x
    x = 99,879,619,471.85/451,178.36
  6. Step 6: Final answer
    x = 221,375.02

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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.