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Finding the Fourth Proportional to 541,251.84, 811,955.52 and 167,304

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Solution

The fourth proportional to 541,251.84, 811,955.52 and 167,304 is: 250,980.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,251.84 : 811,955.52 = 167,304 : x
  2. Step 2: Convert to fraction form
    541,251.84/811,955.52 = 167,304/x
  3. Step 3: Cross multiply
    541,251.84x = 811,955.52 × 167,304
  4. Step 4: Simplify right side
    541,251.84x = 135,843,406,318.08
  5. Step 5: Solve for x
    x = 135,843,406,318.08/541,251.84
  6. Step 6: Final answer
    x = 250,980.04

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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.