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Finding the Fourth Proportional to 361,586.93, 498,956.43 and 200,428.27

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Solution

The fourth proportional to 361,586.93, 498,956.43 and 200,428.27 is: 276,572.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,586.93 : 498,956.43 = 200,428.27 : x
  2. Step 2: Convert to fraction form
    361,586.93/498,956.43 = 200,428.27/x
  3. Step 3: Cross multiply
    361,586.93x = 498,956.43 × 200,428.27
  4. Step 4: Simplify right side
    361,586.93x = 100,004,972,822.89
  5. Step 5: Solve for x
    x = 100,004,972,822.89/361,586.93
  6. Step 6: Final answer
    x = 276,572.43

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1.5x scale

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.