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Finding the Fourth Proportional to 415,518.66, 573,287.94 and 254,205.54

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Solution

The fourth proportional to 415,518.66, 573,287.94 and 254,205.54 is: 350,725.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,518.66 : 573,287.94 = 254,205.54 : x
  2. Step 2: Convert to fraction form
    415,518.66/573,287.94 = 254,205.54/x
  3. Step 3: Cross multiply
    415,518.66x = 573,287.94 × 254,205.54
  4. Step 4: Simplify right side
    415,518.66x = 145,732,970,363.19
  5. Step 5: Solve for x
    x = 145,732,970,363.19/415,518.66
  6. Step 6: Final answer
    x = 350,725.45

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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.