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Finding the Fourth Proportional to 563,649.26, 777,833.11 and 305,525.17

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Solution

The fourth proportional to 563,649.26, 777,833.11 and 305,525.17 is: 421,623.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,649.26 : 777,833.11 = 305,525.17 : x
  2. Step 2: Convert to fraction form
    563,649.26/777,833.11 = 305,525.17/x
  3. Step 3: Cross multiply
    563,649.26x = 777,833.11 × 305,525.17
  4. Step 4: Simplify right side
    563,649.26x = 237,647,593,164.38
  5. Step 5: Solve for x
    x = 237,647,593,164.38/563,649.26
  6. Step 6: Final answer
    x = 421,623.18

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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.