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Finding the Fourth Proportional to 652,177.20, 978,265.80 and 178,910.40

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Solution

The fourth proportional to 652,177.20, 978,265.80 and 178,910.40 is: 268,365.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,177.20 : 978,265.80 = 178,910.40 : x
  2. Step 2: Convert to fraction form
    652,177.20/978,265.80 = 178,910.40/x
  3. Step 3: Cross multiply
    652,177.20x = 978,265.80 × 178,910.40
  4. Step 4: Simplify right side
    652,177.20x = 175,021,925,584.32
  5. Step 5: Solve for x
    x = 175,021,925,584.32/652,177.20
  6. Step 6: Final answer
    x = 268,365.60

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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.