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Finding the Fourth Proportional to 242,650.24, 362,077.24 and 217,433.32

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Solution

The fourth proportional to 242,650.24, 362,077.24 and 217,433.32 is: 324,449.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,650.24 : 362,077.24 = 217,433.32 : x
  2. Step 2: Convert to fraction form
    242,650.24/362,077.24 = 217,433.32/x
  3. Step 3: Cross multiply
    242,650.24x = 362,077.24 × 217,433.32
  4. Step 4: Simplify right side
    242,650.24x = 78,727,656,389.64
  5. Step 5: Solve for x
    x = 78,727,656,389.64/242,650.24
  6. Step 6: Final answer
    x = 324,449.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.