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Finding the Fourth Proportional to 325,835.40, 488,315.70 and 232,231.80

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Solution

The fourth proportional to 325,835.40, 488,315.70 and 232,231.80 is: 348,035.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,835.40 : 488,315.70 = 232,231.80 : x
  2. Step 2: Convert to fraction form
    325,835.40/488,315.70 = 232,231.80/x
  3. Step 3: Cross multiply
    325,835.40x = 488,315.70 × 232,231.80
  4. Step 4: Simplify right side
    325,835.40x = 113,402,433,979.26
  5. Step 5: Solve for x
    x = 113,402,433,979.26/325,835.40
  6. Step 6: Final answer
    x = 348,035.95

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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.