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Finding the Fourth Proportional to 585,711.74, 878,234.70 and 230,533.22

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Solution

The fourth proportional to 585,711.74, 878,234.70 and 230,533.22 is: 345,668.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,711.74 : 878,234.70 = 230,533.22 : x
  2. Step 2: Convert to fraction form
    585,711.74/878,234.70 = 230,533.22/x
  3. Step 3: Cross multiply
    585,711.74x = 878,234.70 × 230,533.22
  4. Step 4: Simplify right side
    585,711.74x = 202,462,273,306.73
  5. Step 5: Solve for x
    x = 202,462,273,306.73/585,711.74
  6. Step 6: Final answer
    x = 345,668.80

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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.