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Finding the Fourth Proportional to 436,023.70, 654,035.55 and 411,529.30

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Solution

The fourth proportional to 436,023.70, 654,035.55 and 411,529.30 is: 617,293.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,023.70 : 654,035.55 = 411,529.30 : x
  2. Step 2: Convert to fraction form
    436,023.70/654,035.55 = 411,529.30/x
  3. Step 3: Cross multiply
    436,023.70x = 654,035.55 × 411,529.30
  4. Step 4: Simplify right side
    436,023.70x = 269,154,792,066.62
  5. Step 5: Solve for x
    x = 269,154,792,066.62/436,023.70
  6. Step 6: Final answer
    x = 617,293.95

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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.