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Finding the Fourth Proportional to 422,299.62, 632,837.07 and 232,798.50

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Solution

The fourth proportional to 422,299.62, 632,837.07 and 232,798.50 is: 348,860.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,299.62 : 632,837.07 = 232,798.50 : x
  2. Step 2: Convert to fraction form
    422,299.62/632,837.07 = 232,798.50/x
  3. Step 3: Cross multiply
    422,299.62x = 632,837.07 × 232,798.50
  4. Step 4: Simplify right side
    422,299.62x = 147,323,520,640.40
  5. Step 5: Solve for x
    x = 147,323,520,640.40/422,299.62
  6. Step 6: Final answer
    x = 348,860.18

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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.