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Finding the Fourth Proportional to 242,715.70, 364,073.55 and 231,829.30

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Solution

The fourth proportional to 242,715.70, 364,073.55 and 231,829.30 is: 347,743.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,715.70 : 364,073.55 = 231,829.30 : x
  2. Step 2: Convert to fraction form
    242,715.70/364,073.55 = 231,829.30/x
  3. Step 3: Cross multiply
    242,715.70x = 364,073.55 × 231,829.30
  4. Step 4: Simplify right side
    242,715.70x = 84,402,916,245.02
  5. Step 5: Solve for x
    x = 84,402,916,245.02/242,715.70
  6. Step 6: Final answer
    x = 347,743.95

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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.