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Finding the Fourth Proportional to 354,150.92, 488,641.65 and 226,998.74

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Solution

The fourth proportional to 354,150.92, 488,641.65 and 226,998.74 is: 313,202.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,150.92 : 488,641.65 = 226,998.74 : x
  2. Step 2: Convert to fraction form
    354,150.92/488,641.65 = 226,998.74/x
  3. Step 3: Cross multiply
    354,150.92x = 488,641.65 × 226,998.74
  4. Step 4: Simplify right side
    354,150.92x = 110,921,036,418.31
  5. Step 5: Solve for x
    x = 110,921,036,418.31/354,150.92
  6. Step 6: Final answer
    x = 313,202.74

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1.5x scale

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.