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Finding the Fourth Proportional to 415,775.33, 624,013.52 and 163,233.18

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Solution

The fourth proportional to 415,775.33, 624,013.52 and 163,233.18 is: 244,987.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,775.33 : 624,013.52 = 163,233.18 : x
  2. Step 2: Convert to fraction form
    415,775.33/624,013.52 = 163,233.18/x
  3. Step 3: Cross multiply
    415,775.33x = 624,013.52 × 163,233.18
  4. Step 4: Simplify right side
    415,775.33x = 101,859,711,232.59
  5. Step 5: Solve for x
    x = 101,859,711,232.59/415,775.33
  6. Step 6: Final answer
    x = 244,987.39

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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.