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Finding the Fourth Proportional to 361,155.21, 498,154.22 and 232,256.65

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Solution

The fourth proportional to 361,155.21, 498,154.22 and 232,256.65 is: 320,359.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,155.21 : 498,154.22 = 232,256.65 : x
  2. Step 2: Convert to fraction form
    361,155.21/498,154.22 = 232,256.65/x
  3. Step 3: Cross multiply
    361,155.21x = 498,154.22 × 232,256.65
  4. Step 4: Simplify right side
    361,155.21x = 115,699,630,694.99
  5. Step 5: Solve for x
    x = 115,699,630,694.99/361,155.21
  6. Step 6: Final answer
    x = 320,359.85

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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.