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Finding the Fourth Proportional to 502,893.40, 754,121.40 and 165,803.80

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Solution

The fourth proportional to 502,893.40, 754,121.40 and 165,803.80 is: 248,633.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,893.40 : 754,121.40 = 165,803.80 : x
  2. Step 2: Convert to fraction form
    502,893.40/754,121.40 = 165,803.80/x
  3. Step 3: Cross multiply
    502,893.40x = 754,121.40 × 165,803.80
  4. Step 4: Simplify right side
    502,893.40x = 125,036,193,781.32
  5. Step 5: Solve for x
    x = 125,036,193,781.32/502,893.40
  6. Step 6: Final answer
    x = 248,633.59

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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.