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Finding the Fourth Proportional to 563,087.27, 777,074.63 and 345,415.96

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Solution

The fourth proportional to 563,087.27, 777,074.63 and 345,415.96 is: 476,682.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,087.27 : 777,074.63 = 345,415.96 : x
  2. Step 2: Convert to fraction form
    563,087.27/777,074.63 = 345,415.96/x
  3. Step 3: Cross multiply
    563,087.27x = 777,074.63 × 345,415.96
  4. Step 4: Simplify right side
    563,087.27x = 268,413,975,764.82
  5. Step 5: Solve for x
    x = 268,413,975,764.82/563,087.27
  6. Step 6: Final answer
    x = 476,682.73

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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.