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Finding the Fourth Proportional to 442,530.88, 663,912.96 and 232,112.32

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Solution

The fourth proportional to 442,530.88, 663,912.96 and 232,112.32 is: 348,229.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,530.88 : 663,912.96 = 232,112.32 : x
  2. Step 2: Convert to fraction form
    442,530.88/663,912.96 = 232,112.32/x
  3. Step 3: Cross multiply
    442,530.88x = 663,912.96 × 232,112.32
  4. Step 4: Simplify right side
    442,530.88x = 154,102,377,423.67
  5. Step 5: Solve for x
    x = 154,102,377,423.67/442,530.88
  6. Step 6: Final answer
    x = 348,229.66

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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.