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Finding the Fourth Proportional to 294,873.90, 442,310.85 and 73,257.90

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Solution

The fourth proportional to 294,873.90, 442,310.85 and 73,257.90 is: 109,886.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,873.90 : 442,310.85 = 73,257.90 : x
  2. Step 2: Convert to fraction form
    294,873.90/442,310.85 = 73,257.90/x
  3. Step 3: Cross multiply
    294,873.90x = 442,310.85 × 73,257.90
  4. Step 4: Simplify right side
    294,873.90x = 32,402,764,018.22
  5. Step 5: Solve for x
    x = 32,402,764,018.22/294,873.90
  6. Step 6: Final answer
    x = 109,886.85

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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.