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Finding the Fourth Proportional to 356,713.41, 492,251.40 and 195,564.93

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Solution

The fourth proportional to 356,713.41, 492,251.40 and 195,564.93 is: 269,872.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,713.41 : 492,251.40 = 195,564.93 : x
  2. Step 2: Convert to fraction form
    356,713.41/492,251.40 = 195,564.93/x
  3. Step 3: Cross multiply
    356,713.41x = 492,251.40 × 195,564.93
  4. Step 4: Simplify right side
    356,713.41x = 96,267,110,583.40
  5. Step 5: Solve for x
    x = 96,267,110,583.40/356,713.41
  6. Step 6: Final answer
    x = 269,872.42

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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.