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Finding the Fourth Proportional to 360,863.46, 497,942.28 and 207,844.74

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Solution

The fourth proportional to 360,863.46, 497,942.28 and 207,844.74 is: 286,797.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,863.46 : 497,942.28 = 207,844.74 : x
  2. Step 2: Convert to fraction form
    360,863.46/497,942.28 = 207,844.74/x
  3. Step 3: Cross multiply
    360,863.46x = 497,942.28 × 207,844.74
  4. Step 4: Simplify right side
    360,863.46x = 103,494,683,721.61
  5. Step 5: Solve for x
    x = 103,494,683,721.61/360,863.46
  6. Step 6: Final answer
    x = 286,797.35

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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.