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Finding the Fourth Proportional to 650,875.44, 898,101.18 and 408,986.76

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Solution

The fourth proportional to 650,875.44, 898,101.18 and 408,986.76 is: 564,334.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,875.44 : 898,101.18 = 408,986.76 : x
  2. Step 2: Convert to fraction form
    650,875.44/898,101.18 = 408,986.76/x
  3. Step 3: Cross multiply
    650,875.44x = 898,101.18 × 408,986.76
  4. Step 4: Simplify right side
    650,875.44x = 367,311,491,760.38
  5. Step 5: Solve for x
    x = 367,311,491,760.38/650,875.44
  6. Step 6: Final answer
    x = 564,334.54

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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.