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Finding the Fourth Proportional to 309,817.28, 464,774.64 and 132,325.28

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Solution

The fourth proportional to 309,817.28, 464,774.64 and 132,325.28 is: 198,508.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,817.28 : 464,774.64 = 132,325.28 : x
  2. Step 2: Convert to fraction form
    309,817.28/464,774.64 = 132,325.28/x
  3. Step 3: Cross multiply
    309,817.28x = 464,774.64 × 132,325.28
  4. Step 4: Simplify right side
    309,817.28x = 61,501,434,374.90
  5. Step 5: Solve for x
    x = 61,501,434,374.90/309,817.28
  6. Step 6: Final answer
    x = 198,508.73

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1.5x scale

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.