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Finding the Fourth Proportional to 415,817.80, 573,828.78 and 224,831.20

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Solution

The fourth proportional to 415,817.80, 573,828.78 and 224,831.20 is: 310,267.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,817.80 : 573,828.78 = 224,831.20 : x
  2. Step 2: Convert to fraction form
    415,817.80/573,828.78 = 224,831.20/x
  3. Step 3: Cross multiply
    415,817.80x = 573,828.78 × 224,831.20
  4. Step 4: Simplify right side
    415,817.80x = 129,014,613,201.94
  5. Step 5: Solve for x
    x = 129,014,613,201.94/415,817.80
  6. Step 6: Final answer
    x = 310,267.17

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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.