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Finding the Fourth Proportional to 563,047.16, 777,003.92 and 304,923.30

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Solution

The fourth proportional to 563,047.16, 777,003.92 and 304,923.30 is: 420,793.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,047.16 : 777,003.92 = 304,923.30 : x
  2. Step 2: Convert to fraction form
    563,047.16/777,003.92 = 304,923.30/x
  3. Step 3: Cross multiply
    563,047.16x = 777,003.92 × 304,923.30
  4. Step 4: Simplify right side
    563,047.16x = 236,926,597,874.72
  5. Step 5: Solve for x
    x = 236,926,597,874.72/563,047.16
  6. Step 6: Final answer
    x = 420,793.53

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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.