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Finding the Fourth Proportional to 451,642.32, 677,463.78 and 114,708.24

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Solution

The fourth proportional to 451,642.32, 677,463.78 and 114,708.24 is: 172,062.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,642.32 : 677,463.78 = 114,708.24 : x
  2. Step 2: Convert to fraction form
    451,642.32/677,463.78 = 114,708.24/x
  3. Step 3: Cross multiply
    451,642.32x = 677,463.78 × 114,708.24
  4. Step 4: Simplify right side
    451,642.32x = 77,710,678,297.70
  5. Step 5: Solve for x
    x = 77,710,678,297.70/451,642.32
  6. Step 6: Final answer
    x = 172,062.44

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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.