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Finding the Fourth Proportional to 356,836.50, 492,434.37 and 197,860.50

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Solution

The fourth proportional to 356,836.50, 492,434.37 and 197,860.50 is: 273,047.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,836.50 : 492,434.37 = 197,860.50 : x
  2. Step 2: Convert to fraction form
    356,836.50/492,434.37 = 197,860.50/x
  3. Step 3: Cross multiply
    356,836.50x = 492,434.37 × 197,860.50
  4. Step 4: Simplify right side
    356,836.50x = 97,433,310,665.39
  5. Step 5: Solve for x
    x = 97,433,310,665.39/356,836.50
  6. Step 6: Final answer
    x = 273,047.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.