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Finding the Fourth Proportional to 498,856.44, 687,022.38 and 466,838.04

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Solution

The fourth proportional to 498,856.44, 687,022.38 and 466,838.04 is: 642,926.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,856.44 : 687,022.38 = 466,838.04 : x
  2. Step 2: Convert to fraction form
    498,856.44/687,022.38 = 466,838.04/x
  3. Step 3: Cross multiply
    498,856.44x = 687,022.38 × 466,838.04
  4. Step 4: Simplify right side
    498,856.44x = 320,728,181,315.34
  5. Step 5: Solve for x
    x = 320,728,181,315.34/498,856.44
  6. Step 6: Final answer
    x = 642,926.81

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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.