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Finding the Fourth Proportional to 328,094.30, 492,724.65 and 239,447.90

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Solution

The fourth proportional to 328,094.30, 492,724.65 and 239,447.90 is: 359,597.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,094.30 : 492,724.65 = 239,447.90 : x
  2. Step 2: Convert to fraction form
    328,094.30/492,724.65 = 239,447.90/x
  3. Step 3: Cross multiply
    328,094.30x = 492,724.65 × 239,447.90
  4. Step 4: Simplify right side
    328,094.30x = 117,981,882,720.74
  5. Step 5: Solve for x
    x = 117,981,882,720.74/328,094.30
  6. Step 6: Final answer
    x = 359,597.48

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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.