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Finding the Fourth Proportional to 458,334.30, 632,617.59 and 313,198.83

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Solution

The fourth proportional to 458,334.30, 632,617.59 and 313,198.83 is: 432,293.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,334.30 : 632,617.59 = 313,198.83 : x
  2. Step 2: Convert to fraction form
    458,334.30/632,617.59 = 313,198.83/x
  3. Step 3: Cross multiply
    458,334.30x = 632,617.59 × 313,198.83
  4. Step 4: Simplify right side
    458,334.30x = 198,135,088,420.68
  5. Step 5: Solve for x
    x = 198,135,088,420.68/458,334.30
  6. Step 6: Final answer
    x = 432,293.83

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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.