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Finding the Fourth Proportional to 432,146.56, 648,219.84 and 116,603.48

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Solution

The fourth proportional to 432,146.56, 648,219.84 and 116,603.48 is: 174,905.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,146.56 : 648,219.84 = 116,603.48 : x
  2. Step 2: Convert to fraction form
    432,146.56/648,219.84 = 116,603.48/x
  3. Step 3: Cross multiply
    432,146.56x = 648,219.84 × 116,603.48
  4. Step 4: Simplify right side
    432,146.56x = 75,584,689,149.04
  5. Step 5: Solve for x
    x = 75,584,689,149.04/432,146.56
  6. Step 6: Final answer
    x = 174,905.22

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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.