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Finding the Fourth Proportional to 432,863.72, 649,295.57 and 117,320.63

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Solution

The fourth proportional to 432,863.72, 649,295.57 and 117,320.63 is: 175,980.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,863.72 : 649,295.57 = 117,320.63 : x
  2. Step 2: Convert to fraction form
    432,863.72/649,295.57 = 117,320.63/x
  3. Step 3: Cross multiply
    432,863.72x = 649,295.57 × 117,320.63
  4. Step 4: Simplify right side
    432,863.72x = 76,175,761,495.53
  5. Step 5: Solve for x
    x = 76,175,761,495.53/432,863.72
  6. Step 6: Final answer
    x = 175,980.94

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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.