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Finding the Fourth Proportional to 356,423.91, 491,865 and 195,285.06

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Solution

The fourth proportional to 356,423.91, 491,865 and 195,285.06 is: 269,493.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,423.91 : 491,865 = 195,285.06 : x
  2. Step 2: Convert to fraction form
    356,423.91/491,865 = 195,285.06/x
  3. Step 3: Cross multiply
    356,423.91x = 491,865 × 195,285.06
  4. Step 4: Simplify right side
    356,423.91x = 96,053,886,036.90
  5. Step 5: Solve for x
    x = 96,053,886,036.90/356,423.91
  6. Step 6: Final answer
    x = 269,493.39

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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.