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Finding the Fourth Proportional to 295,227.90, 442,885.05 and 154,997.10

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Solution

The fourth proportional to 295,227.90, 442,885.05 and 154,997.10 is: 232,518.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,227.90 : 442,885.05 = 154,997.10 : x
  2. Step 2: Convert to fraction form
    295,227.90/442,885.05 = 154,997.10/x
  3. Step 3: Cross multiply
    295,227.90x = 442,885.05 × 154,997.10
  4. Step 4: Simplify right side
    295,227.90x = 68,645,898,383.36
  5. Step 5: Solve for x
    x = 68,645,898,383.36/295,227.90
  6. Step 6: Final answer
    x = 232,518.33

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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.