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Finding the Fourth Proportional to 323,792.32, 485,746.92 and 146,382.88

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Solution

The fourth proportional to 323,792.32, 485,746.92 and 146,382.88 is: 219,600.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,792.32 : 485,746.92 = 146,382.88 : x
  2. Step 2: Convert to fraction form
    323,792.32/485,746.92 = 146,382.88/x
  3. Step 3: Cross multiply
    323,792.32x = 485,746.92 × 146,382.88
  4. Step 4: Simplify right side
    323,792.32x = 71,105,033,100.73
  5. Step 5: Solve for x
    x = 71,105,033,100.73/323,792.32
  6. Step 6: Final answer
    x = 219,600.74

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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.