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Finding the Fourth Proportional to 341,209.92, 470,865.18 and 188,254.53

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Solution

The fourth proportional to 341,209.92, 470,865.18 and 188,254.53 is: 259,788.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,209.92 : 470,865.18 = 188,254.53 : x
  2. Step 2: Convert to fraction form
    341,209.92/470,865.18 = 188,254.53/x
  3. Step 3: Cross multiply
    341,209.92x = 470,865.18 × 188,254.53
  4. Step 4: Simplify right side
    341,209.92x = 88,642,503,154.27
  5. Step 5: Solve for x
    x = 88,642,503,154.27/341,209.92
  6. Step 6: Final answer
    x = 259,788.76

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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.