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Finding the Fourth Proportional to 361,395.84, 541,643.94 and 232,973.48

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Solution

The fourth proportional to 361,395.84, 541,643.94 and 232,973.48 is: 349,170.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,395.84 : 541,643.94 = 232,973.48 : x
  2. Step 2: Convert to fraction form
    361,395.84/541,643.94 = 232,973.48/x
  3. Step 3: Cross multiply
    361,395.84x = 541,643.94 × 232,973.48
  4. Step 4: Simplify right side
    361,395.84x = 126,188,673,622.71
  5. Step 5: Solve for x
    x = 126,188,673,622.71/361,395.84
  6. Step 6: Final answer
    x = 349,170.24

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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.