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Finding the Fourth Proportional to 356,843.50, 492,444.03 and 197,867.50

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Solution

The fourth proportional to 356,843.50, 492,444.03 and 197,867.50 is: 273,057.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,843.50 : 492,444.03 = 197,867.50 : x
  2. Step 2: Convert to fraction form
    356,843.50/492,444.03 = 197,867.50/x
  3. Step 3: Cross multiply
    356,843.50x = 492,444.03 × 197,867.50
  4. Step 4: Simplify right side
    356,843.50x = 97,438,669,106.03
  5. Step 5: Solve for x
    x = 97,438,669,106.03/356,843.50
  6. Step 6: Final answer
    x = 273,057.15

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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.