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Finding the Fourth Proportional to 527,196.84, 727,535.10 and 285,479.43

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Solution

The fourth proportional to 527,196.84, 727,535.10 and 285,479.43 is: 393,963.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,196.84 : 727,535.10 = 285,479.43 : x
  2. Step 2: Convert to fraction form
    527,196.84/727,535.10 = 285,479.43/x
  3. Step 3: Cross multiply
    527,196.84x = 727,535.10 × 285,479.43
  4. Step 4: Simplify right side
    527,196.84x = 207,696,305,640.02
  5. Step 5: Solve for x
    x = 207,696,305,640.02/527,196.84
  6. Step 6: Final answer
    x = 393,963.48

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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.