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Finding the Fourth Proportional to 563,184.92, 777,190.55 and 305,055.88

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Solution

The fourth proportional to 563,184.92, 777,190.55 and 305,055.88 is: 420,974.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,184.92 : 777,190.55 = 305,055.88 : x
  2. Step 2: Convert to fraction form
    563,184.92/777,190.55 = 305,055.88/x
  3. Step 3: Cross multiply
    563,184.92x = 777,190.55 × 305,055.88
  4. Step 4: Simplify right side
    563,184.92x = 237,086,543,689.68
  5. Step 5: Solve for x
    x = 237,086,543,689.68/563,184.92
  6. Step 6: Final answer
    x = 420,974.59

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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.