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Finding the Fourth Proportional to 585,734.76, 878,286.31 and 316,007.46

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Solution

The fourth proportional to 585,734.76, 878,286.31 and 316,007.46 is: 473,840.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,734.76 : 878,286.31 = 316,007.46 : x
  2. Step 2: Convert to fraction form
    585,734.76/878,286.31 = 316,007.46/x
  3. Step 3: Cross multiply
    585,734.76x = 878,286.31 × 316,007.46
  4. Step 4: Simplify right side
    585,734.76x = 277,545,025,185.85
  5. Step 5: Solve for x
    x = 277,545,025,185.85/585,734.76
  6. Step 6: Final answer
    x = 473,840.80

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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.