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Finding the Fourth Proportional to 415,831.14, 573,847.38 and 224,844.48

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Solution

The fourth proportional to 415,831.14, 573,847.38 and 224,844.48 is: 310,285.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,831.14 : 573,847.38 = 224,844.48 : x
  2. Step 2: Convert to fraction form
    415,831.14/573,847.38 = 224,844.48/x
  3. Step 3: Cross multiply
    415,831.14x = 573,847.38 × 224,844.48
  4. Step 4: Simplify right side
    415,831.14x = 129,026,415,755.46
  5. Step 5: Solve for x
    x = 129,026,415,755.46/415,831.14
  6. Step 6: Final answer
    x = 310,285.60

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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.