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Finding the Fourth Proportional to 563,809.80, 777,713.09 and 334,213.41

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Solution

The fourth proportional to 563,809.80, 777,713.09 and 334,213.41 is: 461,010.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,809.80 : 777,713.09 = 334,213.41 : x
  2. Step 2: Convert to fraction form
    563,809.80/777,713.09 = 334,213.41/x
  3. Step 3: Cross multiply
    563,809.80x = 777,713.09 × 334,213.41
  4. Step 4: Simplify right side
    563,809.80x = 259,922,143,966.70
  5. Step 5: Solve for x
    x = 259,922,143,966.70/563,809.80
  6. Step 6: Final answer
    x = 461,010.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.