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Finding the Fourth Proportional to 242,684.94, 364,027.41 and 242,334.48

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Solution

The fourth proportional to 242,684.94, 364,027.41 and 242,334.48 is: 363,501.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,684.94 : 364,027.41 = 242,334.48 : x
  2. Step 2: Convert to fraction form
    242,684.94/364,027.41 = 242,334.48/x
  3. Step 3: Cross multiply
    242,684.94x = 364,027.41 × 242,334.48
  4. Step 4: Simplify right side
    242,684.94x = 88,216,393,108.10
  5. Step 5: Solve for x
    x = 88,216,393,108.10/242,684.94
  6. Step 6: Final answer
    x = 363,501.72

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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.