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Finding the Fourth Proportional to 536,808.38, 805,217.42 and 162,831.38

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Solution

The fourth proportional to 536,808.38, 805,217.42 and 162,831.38 is: 244,248.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,808.38 : 805,217.42 = 162,831.38 : x
  2. Step 2: Convert to fraction form
    536,808.38/805,217.42 = 162,831.38/x
  3. Step 3: Cross multiply
    536,808.38x = 805,217.42 × 162,831.38
  4. Step 4: Simplify right side
    536,808.38x = 131,114,660,079.63
  5. Step 5: Solve for x
    x = 131,114,660,079.63/536,808.38
  6. Step 6: Final answer
    x = 244,248.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.