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Finding the Fourth Proportional to 432,863.21, 649,294.82 and 117,320.12

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Solution

The fourth proportional to 432,863.21, 649,294.82 and 117,320.12 is: 175,980.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,863.21 : 649,294.82 = 117,320.12 : x
  2. Step 2: Convert to fraction form
    432,863.21/649,294.82 = 117,320.12/x
  3. Step 3: Cross multiply
    432,863.21x = 649,294.82 × 117,320.12
  4. Step 4: Simplify right side
    432,863.21x = 76,175,346,197.78
  5. Step 5: Solve for x
    x = 76,175,346,197.78/432,863.21
  6. Step 6: Final answer
    x = 175,980.18

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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.