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Finding the Fourth Proportional to 356,807.72, 492,401.41 and 195,653.16

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Solution

The fourth proportional to 356,807.72, 492,401.41 and 195,653.16 is: 270,005.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,807.72 : 492,401.41 = 195,653.16 : x
  2. Step 2: Convert to fraction form
    356,807.72/492,401.41 = 195,653.16/x
  3. Step 3: Cross multiply
    356,807.72x = 492,401.41 × 195,653.16
  4. Step 4: Simplify right side
    356,807.72x = 96,339,889,519.32
  5. Step 5: Solve for x
    x = 96,339,889,519.32/356,807.72
  6. Step 6: Final answer
    x = 270,005.06

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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.