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Finding the Fourth Proportional to 354,218.04, 531,215.24 and 140,893.20

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Solution

The fourth proportional to 354,218.04, 531,215.24 and 140,893.20 is: 211,295.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,218.04 : 531,215.24 = 140,893.20 : x
  2. Step 2: Convert to fraction form
    354,218.04/531,215.24 = 140,893.20/x
  3. Step 3: Cross multiply
    354,218.04x = 531,215.24 × 140,893.20
  4. Step 4: Simplify right side
    354,218.04x = 74,844,615,052.37
  5. Step 5: Solve for x
    x = 74,844,615,052.37/354,218.04
  6. Step 6: Final answer
    x = 211,295.32

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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.