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Finding the Fourth Proportional to 361,587.93, 498,957.81 and 200,429.27

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Solution

The fourth proportional to 361,587.93, 498,957.81 and 200,429.27 is: 276,573.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,587.93 : 498,957.81 = 200,429.27 : x
  2. Step 2: Convert to fraction form
    361,587.93/498,957.81 = 200,429.27/x
  3. Step 3: Cross multiply
    361,587.93x = 498,957.81 × 200,429.27
  4. Step 4: Simplify right side
    361,587.93x = 100,005,749,619.10
  5. Step 5: Solve for x
    x = 100,005,749,619.10/361,587.93
  6. Step 6: Final answer
    x = 276,573.80

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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.