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Finding the Fourth Proportional to 288,455.46, 432,724.14 and 88,792.46

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Solution

The fourth proportional to 288,455.46, 432,724.14 and 88,792.46 is: 133,201.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,455.46 : 432,724.14 = 88,792.46 : x
  2. Step 2: Convert to fraction form
    288,455.46/432,724.14 = 88,792.46/x
  3. Step 3: Cross multiply
    288,455.46x = 432,724.14 × 88,792.46
  4. Step 4: Simplify right side
    288,455.46x = 38,422,640,891.98
  5. Step 5: Solve for x
    x = 38,422,640,891.98/288,455.46
  6. Step 6: Final answer
    x = 133,201.30

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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.