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Finding the Fourth Proportional to 341,534.52, 471,343.50 and 188,601.84

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Solution

The fourth proportional to 341,534.52, 471,343.50 and 188,601.84 is: 260,284.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,534.52 : 471,343.50 = 188,601.84 : x
  2. Step 2: Convert to fraction form
    341,534.52/471,343.50 = 188,601.84/x
  3. Step 3: Cross multiply
    341,534.52x = 471,343.50 × 188,601.84
  4. Step 4: Simplify right side
    341,534.52x = 88,896,251,372.04
  5. Step 5: Solve for x
    x = 88,896,251,372.04/341,534.52
  6. Step 6: Final answer
    x = 260,284.82

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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.