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Finding the Fourth Proportional to 432,142.55, 648,213.83 and 116,599.46

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Solution

The fourth proportional to 432,142.55, 648,213.83 and 116,599.46 is: 174,899.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,142.55 : 648,213.83 = 116,599.46 : x
  2. Step 2: Convert to fraction form
    432,142.55/648,213.83 = 116,599.46/x
  3. Step 3: Cross multiply
    432,142.55x = 648,213.83 × 116,599.46
  4. Step 4: Simplify right side
    432,142.55x = 75,581,384,454.57
  5. Step 5: Solve for x
    x = 75,581,384,454.57/432,142.55
  6. Step 6: Final answer
    x = 174,899.19

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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.