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Finding the Fourth Proportional to 355,875.32, 491,107.93 and 194,730.38

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Solution

The fourth proportional to 355,875.32, 491,107.93 and 194,730.38 is: 268,727.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,875.32 : 491,107.93 = 194,730.38 : x
  2. Step 2: Convert to fraction form
    355,875.32/491,107.93 = 194,730.38/x
  3. Step 3: Cross multiply
    355,875.32x = 491,107.93 × 194,730.38
  4. Step 4: Simplify right side
    355,875.32x = 95,633,632,729.20
  5. Step 5: Solve for x
    x = 95,633,632,729.20/355,875.32
  6. Step 6: Final answer
    x = 268,727.91

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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.