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Finding the Fourth Proportional to 541,785.12, 812,404.56 and 317,213.28

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Solution

The fourth proportional to 541,785.12, 812,404.56 and 317,213.28 is: 475,660.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,785.12 : 812,404.56 = 317,213.28 : x
  2. Step 2: Convert to fraction form
    541,785.12/812,404.56 = 317,213.28/x
  3. Step 3: Cross multiply
    541,785.12x = 812,404.56 × 317,213.28
  4. Step 4: Simplify right side
    541,785.12x = 257,705,515,164.56
  5. Step 5: Solve for x
    x = 257,705,515,164.56/541,785.12
  6. Step 6: Final answer
    x = 475,660.01

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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.