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Finding the Fourth Proportional to 340,854.82, 470,358.52 and 187,885.11

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Solution

The fourth proportional to 340,854.82, 470,358.52 and 187,885.11 is: 259,269.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,854.82 : 470,358.52 = 187,885.11 : x
  2. Step 2: Convert to fraction form
    340,854.82/470,358.52 = 187,885.11/x
  3. Step 3: Cross multiply
    340,854.82x = 470,358.52 × 187,885.11
  4. Step 4: Simplify right side
    340,854.82x = 88,373,361,974.86
  5. Step 5: Solve for x
    x = 88,373,361,974.86/340,854.82
  6. Step 6: Final answer
    x = 259,269.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.