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Finding the Fourth Proportional to 341,463.07, 471,206.68 and 188,497.98

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Solution

The fourth proportional to 341,463.07, 471,206.68 and 188,497.98 is: 260,120.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,463.07 : 471,206.68 = 188,497.98 : x
  2. Step 2: Convert to fraction form
    341,463.07/471,206.68 = 188,497.98/x
  3. Step 3: Cross multiply
    341,463.07x = 471,206.68 × 188,497.98
  4. Step 4: Simplify right side
    341,463.07x = 88,821,504,750.85
  5. Step 5: Solve for x
    x = 88,821,504,750.85/341,463.07
  6. Step 6: Final answer
    x = 260,120.38

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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.