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Finding the Fourth Proportional to 360,862.46, 497,940.90 and 207,843.74

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Solution

The fourth proportional to 360,862.46, 497,940.90 and 207,843.74 is: 286,795.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,862.46 : 497,940.90 = 207,843.74 : x
  2. Step 2: Convert to fraction form
    360,862.46/497,940.90 = 207,843.74/x
  3. Step 3: Cross multiply
    360,862.46x = 497,940.90 × 207,843.74
  4. Step 4: Simplify right side
    360,862.46x = 103,493,898,954.97
  5. Step 5: Solve for x
    x = 103,493,898,954.97/360,862.46
  6. Step 6: Final answer
    x = 286,795.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.