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Finding the Fourth Proportional to 308,042.40, 462,409.20 and 238,231.20

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Solution

The fourth proportional to 308,042.40, 462,409.20 and 238,231.20 is: 357,614.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,042.40 : 462,409.20 = 238,231.20 : x
  2. Step 2: Convert to fraction form
    308,042.40/462,409.20 = 238,231.20/x
  3. Step 3: Cross multiply
    308,042.40x = 462,409.20 × 238,231.20
  4. Step 4: Simplify right side
    308,042.40x = 110,160,298,607.04
  5. Step 5: Solve for x
    x = 110,160,298,607.04/308,042.40
  6. Step 6: Final answer
    x = 357,614.08

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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.