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Finding the Fourth Proportional to 423,247.65, 584,098.59 and 232,267.87

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Solution

The fourth proportional to 423,247.65, 584,098.59 and 232,267.87 is: 320,538.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,247.65 : 584,098.59 = 232,267.87 : x
  2. Step 2: Convert to fraction form
    423,247.65/584,098.59 = 232,267.87/x
  3. Step 3: Cross multiply
    423,247.65x = 584,098.59 × 232,267.87
  4. Step 4: Simplify right side
    423,247.65x = 135,667,335,369.30
  5. Step 5: Solve for x
    x = 135,667,335,369.30/423,247.65
  6. Step 6: Final answer
    x = 320,538.90

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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.