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Finding the Fourth Proportional to 650,581.75, 898,356.86 and 409,268.17

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Solution

The fourth proportional to 650,581.75, 898,356.86 and 409,268.17 is: 565,138.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,581.75 : 898,356.86 = 409,268.17 : x
  2. Step 2: Convert to fraction form
    650,581.75/898,356.86 = 409,268.17/x
  3. Step 3: Cross multiply
    650,581.75x = 898,356.86 × 409,268.17
  4. Step 4: Simplify right side
    650,581.75x = 367,668,868,099.15
  5. Step 5: Solve for x
    x = 367,668,868,099.15/650,581.75
  6. Step 6: Final answer
    x = 565,138.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.