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Finding the Fourth Proportional to 294,438.54, 441,657.96 and 94,758.90

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Solution

The fourth proportional to 294,438.54, 441,657.96 and 94,758.90 is: 142,138.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,438.54 : 441,657.96 = 94,758.90 : x
  2. Step 2: Convert to fraction form
    294,438.54/441,657.96 = 94,758.90/x
  3. Step 3: Cross multiply
    294,438.54x = 441,657.96 × 94,758.90
  4. Step 4: Simplify right side
    294,438.54x = 41,851,022,465.84
  5. Step 5: Solve for x
    x = 41,851,022,465.84/294,438.54
  6. Step 6: Final answer
    x = 142,138.40

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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.