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Finding the Fourth Proportional to 585,968.28, 878,977.94 and 286,700.82

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Solution

The fourth proportional to 585,968.28, 878,977.94 and 286,700.82 is: 430,063.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,968.28 : 878,977.94 = 286,700.82 : x
  2. Step 2: Convert to fraction form
    585,968.28/878,977.94 = 286,700.82/x
  3. Step 3: Cross multiply
    585,968.28x = 878,977.94 × 286,700.82
  4. Step 4: Simplify right side
    585,968.28x = 252,003,694,726.41
  5. Step 5: Solve for x
    x = 252,003,694,726.41/585,968.28
  6. Step 6: Final answer
    x = 430,063.71

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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.