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Finding the Fourth Proportional to 338,190.96, 466,643.52 and 194,957.04

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Solution

The fourth proportional to 338,190.96, 466,643.52 and 194,957.04 is: 269,006.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,190.96 : 466,643.52 = 194,957.04 : x
  2. Step 2: Convert to fraction form
    338,190.96/466,643.52 = 194,957.04/x
  3. Step 3: Cross multiply
    338,190.96x = 466,643.52 × 194,957.04
  4. Step 4: Simplify right side
    338,190.96x = 90,975,439,394.38
  5. Step 5: Solve for x
    x = 90,975,439,394.38/338,190.96
  6. Step 6: Final answer
    x = 269,006.12

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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.