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Finding the Fourth Proportional to 409,912.25, 614,671.34 and 232,371.59

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Solution

The fourth proportional to 409,912.25, 614,671.34 and 232,371.59 is: 348,445.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,912.25 : 614,671.34 = 232,371.59 : x
  2. Step 2: Convert to fraction form
    409,912.25/614,671.34 = 232,371.59/x
  3. Step 3: Cross multiply
    409,912.25x = 614,671.34 × 232,371.59
  4. Step 4: Simplify right side
    409,912.25x = 142,832,152,368.02
  5. Step 5: Solve for x
    x = 142,832,152,368.02/409,912.25
  6. Step 6: Final answer
    x = 348,445.68

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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.