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Finding the Fourth Proportional to 413,832.98, 620,651.05 and 114,306.92

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Solution

The fourth proportional to 413,832.98, 620,651.05 and 114,306.92 is: 171,433.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,832.98 : 620,651.05 = 114,306.92 : x
  2. Step 2: Convert to fraction form
    413,832.98/620,651.05 = 114,306.92/x
  3. Step 3: Cross multiply
    413,832.98x = 620,651.05 × 114,306.92
  4. Step 4: Simplify right side
    413,832.98x = 70,944,712,671.34
  5. Step 5: Solve for x
    x = 70,944,712,671.34/413,832.98
  6. Step 6: Final answer
    x = 171,433.20

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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.