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Finding the Fourth Proportional to 432,863.34, 649,295.00 and 117,320.24

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Solution

The fourth proportional to 432,863.34, 649,295.00 and 117,320.24 is: 175,980.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,863.34 : 649,295.00 = 117,320.24 : x
  2. Step 2: Convert to fraction form
    432,863.34/649,295.00 = 117,320.24/x
  3. Step 3: Cross multiply
    432,863.34x = 649,295.00 × 117,320.24
  4. Step 4: Simplify right side
    432,863.34x = 76,175,447,147.34
  5. Step 5: Solve for x
    x = 76,175,447,147.34/432,863.34
  6. Step 6: Final answer
    x = 175,980.36

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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.