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Finding the Fourth Proportional to 413,267.89, 619,901.85 and 163,949.89

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Solution

The fourth proportional to 413,267.89, 619,901.85 and 163,949.89 is: 245,924.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,267.89 : 619,901.85 = 163,949.89 : x
  2. Step 2: Convert to fraction form
    413,267.89/619,901.85 = 163,949.89/x
  3. Step 3: Cross multiply
    413,267.89x = 619,901.85 × 163,949.89
  4. Step 4: Simplify right side
    413,267.89x = 101,632,840,118.30
  5. Step 5: Solve for x
    x = 101,632,840,118.30/413,267.89
  6. Step 6: Final answer
    x = 245,924.84

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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.