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Finding the Fourth Proportional to 542,998.90, 814,494.30 and 163,918.90

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Solution

The fourth proportional to 542,998.90, 814,494.30 and 163,918.90 is: 245,877.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,998.90 : 814,494.30 = 163,918.90 : x
  2. Step 2: Convert to fraction form
    542,998.90/814,494.30 = 163,918.90/x
  3. Step 3: Cross multiply
    542,998.90x = 814,494.30 × 163,918.90
  4. Step 4: Simplify right side
    542,998.90x = 133,511,009,712.27
  5. Step 5: Solve for x
    x = 133,511,009,712.27/542,998.90
  6. Step 6: Final answer
    x = 245,877.13

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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.