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Finding the Fourth Proportional to 563,301.85, 844,471.63 and 208,249.69

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Solution

The fourth proportional to 563,301.85, 844,471.63 and 208,249.69 is: 312,196.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,301.85 : 844,471.63 = 208,249.69 : x
  2. Step 2: Convert to fraction form
    563,301.85/844,471.63 = 208,249.69/x
  3. Step 3: Cross multiply
    563,301.85x = 844,471.63 × 208,249.69
  4. Step 4: Simplify right side
    563,301.85x = 175,860,950,418.31
  5. Step 5: Solve for x
    x = 175,860,950,418.31/563,301.85
  6. Step 6: Final answer
    x = 312,196.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.