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Finding the Fourth Proportional to 295,270.92, 442,878.30 and 117,730.44

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Solution

The fourth proportional to 295,270.92, 442,878.30 and 117,730.44 is: 176,584.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,270.92 : 442,878.30 = 117,730.44 : x
  2. Step 2: Convert to fraction form
    295,270.92/442,878.30 = 117,730.44/x
  3. Step 3: Cross multiply
    295,270.92x = 442,878.30 × 117,730.44
  4. Step 4: Simplify right side
    295,270.92x = 52,140,257,125.45
  5. Step 5: Solve for x
    x = 52,140,257,125.45/295,270.92
  6. Step 6: Final answer
    x = 176,584.46

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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.