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Finding the Fourth Proportional to 585,429.52, 878,146.44 and 142,197.52

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Solution

The fourth proportional to 585,429.52, 878,146.44 and 142,197.52 is: 213,296.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,429.52 : 878,146.44 = 142,197.52 : x
  2. Step 2: Convert to fraction form
    585,429.52/878,146.44 = 142,197.52/x
  3. Step 3: Cross multiply
    585,429.52x = 878,146.44 × 142,197.52
  4. Step 4: Simplify right side
    585,429.52x = 124,870,245,964.83
  5. Step 5: Solve for x
    x = 124,870,245,964.83/585,429.52
  6. Step 6: Final answer
    x = 213,296.80

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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.