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Finding the Fourth Proportional to 341,230.74, 470,897.12 and 188,278.46

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Solution

The fourth proportional to 341,230.74, 470,897.12 and 188,278.46 is: 259,823.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,230.74 : 470,897.12 = 188,278.46 : x
  2. Step 2: Convert to fraction form
    341,230.74/470,897.12 = 188,278.46/x
  3. Step 3: Cross multiply
    341,230.74x = 470,897.12 × 188,278.46
  4. Step 4: Simplify right side
    341,230.74x = 88,659,784,572.04
  5. Step 5: Solve for x
    x = 88,659,784,572.04/341,230.74
  6. Step 6: Final answer
    x = 259,823.56

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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.