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Finding the Fourth Proportional to 310,575.39, 465,972.44 and 152,914.56

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Solution

The fourth proportional to 310,575.39, 465,972.44 and 152,914.56 is: 229,425.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,575.39 : 465,972.44 = 152,914.56 : x
  2. Step 2: Convert to fraction form
    310,575.39/465,972.44 = 152,914.56/x
  3. Step 3: Cross multiply
    310,575.39x = 465,972.44 × 152,914.56
  4. Step 4: Simplify right side
    310,575.39x = 71,253,969,870.15
  5. Step 5: Solve for x
    x = 71,253,969,870.15/310,575.39
  6. Step 6: Final answer
    x = 229,425.68

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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.