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Finding the Fourth Proportional to 402,523.50, 603,858.18 and 165,737.04

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Solution

The fourth proportional to 402,523.50, 603,858.18 and 165,737.04 is: 248,635.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,523.50 : 603,858.18 = 165,737.04 : x
  2. Step 2: Convert to fraction form
    402,523.50/603,858.18 = 165,737.04/x
  3. Step 3: Cross multiply
    402,523.50x = 603,858.18 × 165,737.04
  4. Step 4: Simplify right side
    402,523.50x = 100,081,667,332.99
  5. Step 5: Solve for x
    x = 100,081,667,332.99/402,523.50
  6. Step 6: Final answer
    x = 248,635.59

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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.