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Finding the Fourth Proportional to 423,924.30, 585,015.36 and 232,950

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Solution

The fourth proportional to 423,924.30, 585,015.36 and 232,950 is: 321,470.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,924.30 : 585,015.36 = 232,950 : x
  2. Step 2: Convert to fraction form
    423,924.30/585,015.36 = 232,950/x
  3. Step 3: Cross multiply
    423,924.30x = 585,015.36 × 232,950
  4. Step 4: Simplify right side
    423,924.30x = 136,279,328,112
  5. Step 5: Solve for x
    x = 136,279,328,112/423,924.30
  6. Step 6: Final answer
    x = 321,470.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.