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Finding the Fourth Proportional to 432,584.52, 648,825.66 and 133,064.52

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Solution

The fourth proportional to 432,584.52, 648,825.66 and 133,064.52 is: 199,581.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,584.52 : 648,825.66 = 133,064.52 : x
  2. Step 2: Convert to fraction form
    432,584.52/648,825.66 = 133,064.52/x
  3. Step 3: Cross multiply
    432,584.52x = 648,825.66 × 133,064.52
  4. Step 4: Simplify right side
    432,584.52x = 86,335,675,011.58
  5. Step 5: Solve for x
    x = 86,335,675,011.58/432,584.52
  6. Step 6: Final answer
    x = 199,581.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.