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Finding the Fourth Proportional to 415,895.28, 573,936.80 and 224,910

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Solution

The fourth proportional to 415,895.28, 573,936.80 and 224,910 is: 310,376.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,895.28 : 573,936.80 = 224,910 : x
  2. Step 2: Convert to fraction form
    415,895.28/573,936.80 = 224,910/x
  3. Step 3: Cross multiply
    415,895.28x = 573,936.80 × 224,910
  4. Step 4: Simplify right side
    415,895.28x = 129,084,125,688.00
  5. Step 5: Solve for x
    x = 129,084,125,688.00/415,895.28
  6. Step 6: Final answer
    x = 310,376.51

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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.