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Finding the Fourth Proportional to 325,833.40, 488,312.70 and 232,229.80

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Solution

The fourth proportional to 325,833.40, 488,312.70 and 232,229.80 is: 348,032.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,833.40 : 488,312.70 = 232,229.80 : x
  2. Step 2: Convert to fraction form
    325,833.40/488,312.70 = 232,229.80/x
  3. Step 3: Cross multiply
    325,833.40x = 488,312.70 × 232,229.80
  4. Step 4: Simplify right side
    325,833.40x = 113,400,760,658.46
  5. Step 5: Solve for x
    x = 113,400,760,658.46/325,833.40
  6. Step 6: Final answer
    x = 348,032.95

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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.