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Finding the Fourth Proportional to 541,294.40, 811,864.80 and 167,355.20

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Solution

The fourth proportional to 541,294.40, 811,864.80 and 167,355.20 is: 251,009.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,294.40 : 811,864.80 = 167,355.20 : x
  2. Step 2: Convert to fraction form
    541,294.40/811,864.80 = 167,355.20/x
  3. Step 3: Cross multiply
    541,294.40x = 811,864.80 × 167,355.20
  4. Step 4: Simplify right side
    541,294.40x = 135,869,795,976.96
  5. Step 5: Solve for x
    x = 135,869,795,976.96/541,294.40
  6. Step 6: Final answer
    x = 251,009.06

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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.