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Finding the Fourth Proportional to 542,057.86, 813,831.59 and 275,997.16

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Solution

The fourth proportional to 542,057.86, 813,831.59 and 275,997.16 is: 414,374.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,057.86 : 813,831.59 = 275,997.16 : x
  2. Step 2: Convert to fraction form
    542,057.86/813,831.59 = 275,997.16/x
  3. Step 3: Cross multiply
    542,057.86x = 813,831.59 × 275,997.16
  4. Step 4: Simplify right side
    542,057.86x = 224,615,207,558.28
  5. Step 5: Solve for x
    x = 224,615,207,558.28/542,057.86
  6. Step 6: Final answer
    x = 414,374.97

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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.