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Finding the Fourth Proportional to 409,443.96, 614,165.94 and 159,951

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Solution

The fourth proportional to 409,443.96, 614,165.94 and 159,951 is: 239,926.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,443.96 : 614,165.94 = 159,951 : x
  2. Step 2: Convert to fraction form
    409,443.96/614,165.94 = 159,951/x
  3. Step 3: Cross multiply
    409,443.96x = 614,165.94 × 159,951
  4. Step 4: Simplify right side
    409,443.96x = 98,236,456,268.94
  5. Step 5: Solve for x
    x = 98,236,456,268.94/409,443.96
  6. Step 6: Final answer
    x = 239,926.50

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Similar ratio
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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.