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Finding the Fourth Proportional to 297,940.66, 446,312.63 and 137,792.12

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Solution

The fourth proportional to 297,940.66, 446,312.63 and 137,792.12 is: 206,411.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,940.66 : 446,312.63 = 137,792.12 : x
  2. Step 2: Convert to fraction form
    297,940.66/446,312.63 = 137,792.12/x
  3. Step 3: Cross multiply
    297,940.66x = 446,312.63 × 137,792.12
  4. Step 4: Simplify right side
    297,940.66x = 61,498,363,470.48
  5. Step 5: Solve for x
    x = 61,498,363,470.48/297,940.66
  6. Step 6: Final answer
    x = 206,411.45

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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.