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Finding the Fourth Proportional to 411,972.30, 617,958.45 and 299,123.10

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Solution

The fourth proportional to 411,972.30, 617,958.45 and 299,123.10 is: 448,684.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,972.30 : 617,958.45 = 299,123.10 : x
  2. Step 2: Convert to fraction form
    411,972.30/617,958.45 = 299,123.10/x
  3. Step 3: Cross multiply
    411,972.30x = 617,958.45 × 299,123.10
  4. Step 4: Simplify right side
    411,972.30x = 184,845,647,235.20
  5. Step 5: Solve for x
    x = 184,845,647,235.20/411,972.30
  6. Step 6: Final answer
    x = 448,684.65

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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.