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Finding the Fourth Proportional to 341,429.95, 471,171.02 and 186,380.61

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Solution

The fourth proportional to 341,429.95, 471,171.02 and 186,380.61 is: 257,203.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,429.95 : 471,171.02 = 186,380.61 : x
  2. Step 2: Convert to fraction form
    341,429.95/471,171.02 = 186,380.61/x
  3. Step 3: Cross multiply
    341,429.95x = 471,171.02 × 186,380.61
  4. Step 4: Simplify right side
    341,429.95x = 87,817,142,121.92
  5. Step 5: Solve for x
    x = 87,817,142,121.92/341,429.95
  6. Step 6: Final answer
    x = 257,203.98

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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.