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Finding the Fourth Proportional to 410,309.64, 566,321.78 and 240,598.44

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Solution

The fourth proportional to 410,309.64, 566,321.78 and 240,598.44 is: 332,081.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,309.64 : 566,321.78 = 240,598.44 : x
  2. Step 2: Convert to fraction form
    410,309.64/566,321.78 = 240,598.44/x
  3. Step 3: Cross multiply
    410,309.64x = 566,321.78 × 240,598.44
  4. Step 4: Simplify right side
    410,309.64x = 136,256,135,603.03
  5. Step 5: Solve for x
    x = 136,256,135,603.03/410,309.64
  6. Step 6: Final answer
    x = 332,081.24

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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.