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Finding the Fourth Proportional to 328,101.60, 491,763.60 and 170,248.80

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Solution

The fourth proportional to 328,101.60, 491,763.60 and 170,248.80 is: 255,171.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,101.60 : 491,763.60 = 170,248.80 : x
  2. Step 2: Convert to fraction form
    328,101.60/491,763.60 = 170,248.80/x
  3. Step 3: Cross multiply
    328,101.60x = 491,763.60 × 170,248.80
  4. Step 4: Simplify right side
    328,101.60x = 83,722,162,783.68
  5. Step 5: Solve for x
    x = 83,722,162,783.68/328,101.60
  6. Step 6: Final answer
    x = 255,171.46

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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.