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Finding the Fourth Proportional to 423,238.84, 584,078.52 and 232,250.56

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Solution

The fourth proportional to 423,238.84, 584,078.52 and 232,250.56 is: 320,510.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,238.84 : 584,078.52 = 232,250.56 : x
  2. Step 2: Convert to fraction form
    423,238.84/584,078.52 = 232,250.56/x
  3. Step 3: Cross multiply
    423,238.84x = 584,078.52 × 232,250.56
  4. Step 4: Simplify right side
    423,238.84x = 135,652,563,353.97
  5. Step 5: Solve for x
    x = 135,652,563,353.97/423,238.84
  6. Step 6: Final answer
    x = 320,510.67

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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.