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Finding the Fourth Proportional to 294,204.96, 441,373.01 and 107,216.46

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Solution

The fourth proportional to 294,204.96, 441,373.01 and 107,216.46 is: 160,848.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,204.96 : 441,373.01 = 107,216.46 : x
  2. Step 2: Convert to fraction form
    294,204.96/441,373.01 = 107,216.46/x
  3. Step 3: Cross multiply
    294,204.96x = 441,373.01 × 107,216.46
  4. Step 4: Simplify right side
    294,204.96x = 47,322,451,135.66
  5. Step 5: Solve for x
    x = 47,322,451,135.66/294,204.96
  6. Step 6: Final answer
    x = 160,848.58

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1.5x scale

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.