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Finding the Fourth Proportional to 295,493.40, 442,616.10 and 195,701.40

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Solution

The fourth proportional to 295,493.40, 442,616.10 and 195,701.40 is: 293,138.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,493.40 : 442,616.10 = 195,701.40 : x
  2. Step 2: Convert to fraction form
    295,493.40/442,616.10 = 195,701.40/x
  3. Step 3: Cross multiply
    295,493.40x = 442,616.10 × 195,701.40
  4. Step 4: Simplify right side
    295,493.40x = 86,620,590,432.54
  5. Step 5: Solve for x
    x = 86,620,590,432.54/295,493.40
  6. Step 6: Final answer
    x = 293,138.83

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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.