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Finding the Fourth Proportional to 356,785.20, 534,400.20 and 294,577.20

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Solution

The fourth proportional to 356,785.20, 534,400.20 and 294,577.20 is: 441,223.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,785.20 : 534,400.20 = 294,577.20 : x
  2. Step 2: Convert to fraction form
    356,785.20/534,400.20 = 294,577.20/x
  3. Step 3: Cross multiply
    356,785.20x = 534,400.20 × 294,577.20
  4. Step 4: Simplify right side
    356,785.20x = 157,422,114,595.44
  5. Step 5: Solve for x
    x = 157,422,114,595.44/356,785.20
  6. Step 6: Final answer
    x = 441,223.78

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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.