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Finding the Fourth Proportional to 328,164.40, 492,246.60 and 194,976.10

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Solution

The fourth proportional to 328,164.40, 492,246.60 and 194,976.10 is: 292,464.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,164.40 : 492,246.60 = 194,976.10 : x
  2. Step 2: Convert to fraction form
    328,164.40/492,246.60 = 194,976.10/x
  3. Step 3: Cross multiply
    328,164.40x = 492,246.60 × 194,976.10
  4. Step 4: Simplify right side
    328,164.40x = 95,976,322,306.26
  5. Step 5: Solve for x
    x = 95,976,322,306.26/328,164.40
  6. Step 6: Final answer
    x = 292,464.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.