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Finding the Fourth Proportional to 294,652.44, 442,007.15 and 117,119.61

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Solution

The fourth proportional to 294,652.44, 442,007.15 and 117,119.61 is: 175,690.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,652.44 : 442,007.15 = 117,119.61 : x
  2. Step 2: Convert to fraction form
    294,652.44/442,007.15 = 117,119.61/x
  3. Step 3: Cross multiply
    294,652.44x = 442,007.15 × 117,119.61
  4. Step 4: Simplify right side
    294,652.44x = 51,767,704,439.61
  5. Step 5: Solve for x
    x = 51,767,704,439.61/294,652.44
  6. Step 6: Final answer
    x = 175,690.74

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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.