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Finding the Fourth Proportional to 242,684.80, 364,027.20 and 200,694.40

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Solution

The fourth proportional to 242,684.80, 364,027.20 and 200,694.40 is: 301,041.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,684.80 : 364,027.20 = 200,694.40 : x
  2. Step 2: Convert to fraction form
    242,684.80/364,027.20 = 200,694.40/x
  3. Step 3: Cross multiply
    242,684.80x = 364,027.20 × 200,694.40
  4. Step 4: Simplify right side
    242,684.80x = 73,058,220,487.68
  5. Step 5: Solve for x
    x = 73,058,220,487.68/242,684.80
  6. Step 6: Final answer
    x = 301,041.60

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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.