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Finding the Fourth Proportional to 294,434.06, 441,658.35 and 107,445.50

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Solution

The fourth proportional to 294,434.06, 441,658.35 and 107,445.50 is: 161,170.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,434.06 : 441,658.35 = 107,445.50 : x
  2. Step 2: Convert to fraction form
    294,434.06/441,658.35 = 107,445.50/x
  3. Step 3: Cross multiply
    294,434.06x = 441,658.35 × 107,445.50
  4. Step 4: Simplify right side
    294,434.06x = 47,454,202,244.93
  5. Step 5: Solve for x
    x = 47,454,202,244.93/294,434.06
  6. Step 6: Final answer
    x = 161,170.90

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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.