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Finding the Fourth Proportional to 411,357.96, 617,244.57 and 186,575.04

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Solution

The fourth proportional to 411,357.96, 617,244.57 and 186,575.04 is: 279,956.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,357.96 : 617,244.57 = 186,575.04 : x
  2. Step 2: Convert to fraction form
    411,357.96/617,244.57 = 186,575.04/x
  3. Step 3: Cross multiply
    411,357.96x = 617,244.57 × 186,575.04
  4. Step 4: Simplify right side
    411,357.96x = 115,162,430,337.53
  5. Step 5: Solve for x
    x = 115,162,430,337.53/411,357.96
  6. Step 6: Final answer
    x = 279,956.73

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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.