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Finding the Fourth Proportional to 563,708.77, 777,949.92 and 334,401.82

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Solution

The fourth proportional to 563,708.77, 777,949.92 and 334,401.82 is: 461,493.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,708.77 : 777,949.92 = 334,401.82 : x
  2. Step 2: Convert to fraction form
    563,708.77/777,949.92 = 334,401.82/x
  3. Step 3: Cross multiply
    563,708.77x = 777,949.92 × 334,401.82
  4. Step 4: Simplify right side
    563,708.77x = 260,147,867,171.98
  5. Step 5: Solve for x
    x = 260,147,867,171.98/563,708.77
  6. Step 6: Final answer
    x = 461,493.38

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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.