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Finding the Fourth Proportional to 432,180, 596,406.24 and 241,182

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Solution

The fourth proportional to 432,180, 596,406.24 and 241,182 is: 332,829.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,180 : 596,406.24 = 241,182 : x
  2. Step 2: Convert to fraction form
    432,180/596,406.24 = 241,182/x
  3. Step 3: Cross multiply
    432,180x = 596,406.24 × 241,182
  4. Step 4: Simplify right side
    432,180x = 143,842,449,775.68
  5. Step 5: Solve for x
    x = 143,842,449,775.68/432,180
  6. Step 6: Final answer
    x = 332,829.95

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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.