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Finding the Fourth Proportional to 432,492.90, 648,737.82 and 116,949.78

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Solution

The fourth proportional to 432,492.90, 648,737.82 and 116,949.78 is: 175,424.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,492.90 : 648,737.82 = 116,949.78 : x
  2. Step 2: Convert to fraction form
    432,492.90/648,737.82 = 116,949.78/x
  3. Step 3: Cross multiply
    432,492.90x = 648,737.82 × 116,949.78
  4. Step 4: Simplify right side
    432,492.90x = 75,869,745,326.68
  5. Step 5: Solve for x
    x = 75,869,745,326.68/432,492.90
  6. Step 6: Final answer
    x = 175,424.26

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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.