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Finding the Fourth Proportional to 415,273.78, 573,095.46 and 231,512.30

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Solution

The fourth proportional to 415,273.78, 573,095.46 and 231,512.30 is: 319,496.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,273.78 : 573,095.46 = 231,512.30 : x
  2. Step 2: Convert to fraction form
    415,273.78/573,095.46 = 231,512.30/x
  3. Step 3: Cross multiply
    415,273.78x = 573,095.46 × 231,512.30
  4. Step 4: Simplify right side
    415,273.78x = 132,678,648,064.16
  5. Step 5: Solve for x
    x = 132,678,648,064.16/415,273.78
  6. Step 6: Final answer
    x = 319,496.81

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1.5x scale

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.