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Finding the Fourth Proportional to 409,440.96, 614,161.44 and 159,948

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Solution

The fourth proportional to 409,440.96, 614,161.44 and 159,948 is: 239,922.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,440.96 : 614,161.44 = 159,948 : x
  2. Step 2: Convert to fraction form
    409,440.96/614,161.44 = 159,948/x
  3. Step 3: Cross multiply
    409,440.96x = 614,161.44 × 159,948
  4. Step 4: Simplify right side
    409,440.96x = 98,233,894,005.12
  5. Step 5: Solve for x
    x = 98,233,894,005.12/409,440.96
  6. Step 6: Final answer
    x = 239,922.00

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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.