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Finding the Fourth Proportional to 409,789, 614,961.06 and 143,551.72

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Solution

The fourth proportional to 409,789, 614,961.06 and 143,551.72 is: 215,424.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,789 : 614,961.06 = 143,551.72 : x
  2. Step 2: Convert to fraction form
    409,789/614,961.06 = 143,551.72/x
  3. Step 3: Cross multiply
    409,789x = 614,961.06 × 143,551.72
  4. Step 4: Simplify right side
    409,789x = 88,278,717,896.02
  5. Step 5: Solve for x
    x = 88,278,717,896.02/409,789
  6. Step 6: Final answer
    x = 215,424.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.