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Finding the Fourth Proportional to 361,397.84, 541,646.94 and 232,975.48

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Solution

The fourth proportional to 361,397.84, 541,646.94 and 232,975.48 is: 349,173.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,397.84 : 541,646.94 = 232,975.48 : x
  2. Step 2: Convert to fraction form
    361,397.84/541,646.94 = 232,975.48/x
  3. Step 3: Cross multiply
    361,397.84x = 541,646.94 × 232,975.48
  4. Step 4: Simplify right side
    361,397.84x = 126,190,455,837.03
  5. Step 5: Solve for x
    x = 126,190,455,837.03/361,397.84
  6. Step 6: Final answer
    x = 349,173.24

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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.