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Finding the Fourth Proportional to 563,575.80, 777,766.56 and 334,268.88

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Solution

The fourth proportional to 563,575.80, 777,766.56 and 334,268.88 is: 461,310.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,575.80 : 777,766.56 = 334,268.88 : x
  2. Step 2: Convert to fraction form
    563,575.80/777,766.56 = 334,268.88/x
  3. Step 3: Cross multiply
    563,575.80x = 777,766.56 × 334,268.88
  4. Step 4: Simplify right side
    563,575.80x = 259,983,156,912.65
  5. Step 5: Solve for x
    x = 259,983,156,912.65/563,575.80
  6. Step 6: Final answer
    x = 461,310.01

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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.