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Finding the Fourth Proportional to 409,913.25, 614,672.83 and 232,372.59

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Solution

The fourth proportional to 409,913.25, 614,672.83 and 232,372.59 is: 348,447.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,913.25 : 614,672.83 = 232,372.59 : x
  2. Step 2: Convert to fraction form
    409,913.25/614,672.83 = 232,372.59/x
  3. Step 3: Cross multiply
    409,913.25x = 614,672.83 × 232,372.59
  4. Step 4: Simplify right side
    409,913.25x = 142,833,117,509.73
  5. Step 5: Solve for x
    x = 142,833,117,509.73/409,913.25
  6. Step 6: Final answer
    x = 348,447.18

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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.