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Finding the Fourth Proportional to 361,148.60, 498,219.64 and 233,865.20

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Solution

The fourth proportional to 361,148.60, 498,219.64 and 233,865.20 is: 322,626.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,148.60 : 498,219.64 = 233,865.20 : x
  2. Step 2: Convert to fraction form
    361,148.60/498,219.64 = 233,865.20/x
  3. Step 3: Cross multiply
    361,148.60x = 498,219.64 × 233,865.20
  4. Step 4: Simplify right side
    361,148.60x = 116,516,235,752.53
  5. Step 5: Solve for x
    x = 116,516,235,752.53/361,148.60
  6. Step 6: Final answer
    x = 322,626.85

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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.