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Finding the Fourth Proportional to 294,689.61, 442,343.56 and 261,170.05

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Solution

The fourth proportional to 294,689.61, 442,343.56 and 261,170.05 is: 392,029.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,689.61 : 442,343.56 = 261,170.05 : x
  2. Step 2: Convert to fraction form
    294,689.61/442,343.56 = 261,170.05/x
  3. Step 3: Cross multiply
    294,689.61x = 442,343.56 × 261,170.05
  4. Step 4: Simplify right side
    294,689.61x = 115,526,889,029.45
  5. Step 5: Solve for x
    x = 115,526,889,029.45/294,689.61
  6. Step 6: Final answer
    x = 392,029.06

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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.