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Finding the Fourth Proportional to 650,858.16, 898,077.34 and 408,969.43

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Solution

The fourth proportional to 650,858.16, 898,077.34 and 408,969.43 is: 564,310.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,858.16 : 898,077.34 = 408,969.43 : x
  2. Step 2: Convert to fraction form
    650,858.16/898,077.34 = 408,969.43/x
  3. Step 3: Cross multiply
    650,858.16x = 898,077.34 × 408,969.43
  4. Step 4: Simplify right side
    650,858.16x = 367,286,176,101.74
  5. Step 5: Solve for x
    x = 367,286,176,101.74/650,858.16
  6. Step 6: Final answer
    x = 564,310.62

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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.