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Finding the Fourth Proportional to 356,200.48, 534,497.46 and 198,517.78

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Solution

The fourth proportional to 356,200.48, 534,497.46 and 198,517.78 is: 297,886.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,200.48 : 534,497.46 = 198,517.78 : x
  2. Step 2: Convert to fraction form
    356,200.48/534,497.46 = 198,517.78/x
  3. Step 3: Cross multiply
    356,200.48x = 534,497.46 × 198,517.78
  4. Step 4: Simplify right side
    356,200.48x = 106,107,249,174.84
  5. Step 5: Solve for x
    x = 106,107,249,174.84/356,200.48
  6. Step 6: Final answer
    x = 297,886.32

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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.