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Finding the Fourth Proportional to 541,785.25, 812,794.34 and 157,540.78

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Solution

The fourth proportional to 541,785.25, 812,794.34 and 157,540.78 is: 236,345.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,785.25 : 812,794.34 = 157,540.78 : x
  2. Step 2: Convert to fraction form
    541,785.25/812,794.34 = 157,540.78/x
  3. Step 3: Cross multiply
    541,785.25x = 812,794.34 × 157,540.78
  4. Step 4: Simplify right side
    541,785.25x = 128,048,251,877.35
  5. Step 5: Solve for x
    x = 128,048,251,877.35/541,785.25
  6. Step 6: Final answer
    x = 236,345.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.