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Finding the Fourth Proportional to 548,805.66, 823,306.41 and 194,025.66

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Solution

The fourth proportional to 548,805.66, 823,306.41 and 194,025.66 is: 291,073.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,805.66 : 823,306.41 = 194,025.66 : x
  2. Step 2: Convert to fraction form
    548,805.66/823,306.41 = 194,025.66/x
  3. Step 3: Cross multiply
    548,805.66x = 823,306.41 × 194,025.66
  4. Step 4: Simplify right side
    548,805.66x = 159,742,569,582.48
  5. Step 5: Solve for x
    x = 159,742,569,582.48/548,805.66
  6. Step 6: Final answer
    x = 291,073.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.