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Finding the Fourth Proportional to 471,834.60, 706,715.10 and 409,626.60

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Solution

The fourth proportional to 471,834.60, 706,715.10 and 409,626.60 is: 613,539.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,834.60 : 706,715.10 = 409,626.60 : x
  2. Step 2: Convert to fraction form
    471,834.60/706,715.10 = 409,626.60/x
  3. Step 3: Cross multiply
    471,834.60x = 706,715.10 × 409,626.60
  4. Step 4: Simplify right side
    471,834.60x = 289,489,303,581.66
  5. Step 5: Solve for x
    x = 289,489,303,581.66/471,834.60
  6. Step 6: Final answer
    x = 613,539.79

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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.