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Finding the Fourth Proportional to 510,867.33, 705,018.78 and 284,512.83

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Solution

The fourth proportional to 510,867.33, 705,018.78 and 284,512.83 is: 392,639.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,867.33 : 705,018.78 = 284,512.83 : x
  2. Step 2: Convert to fraction form
    510,867.33/705,018.78 = 284,512.83/x
  3. Step 3: Cross multiply
    510,867.33x = 705,018.78 × 284,512.83
  4. Step 4: Simplify right side
    510,867.33x = 200,586,888,300.95
  5. Step 5: Solve for x
    x = 200,586,888,300.95/510,867.33
  6. Step 6: Final answer
    x = 392,639.88

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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.