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Finding the Fourth Proportional to 308,374.40, 462,907.20 and 238,563.20

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Solution

The fourth proportional to 308,374.40, 462,907.20 and 238,563.20 is: 358,112.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,374.40 : 462,907.20 = 238,563.20 : x
  2. Step 2: Convert to fraction form
    308,374.40/462,907.20 = 238,563.20/x
  3. Step 3: Cross multiply
    308,374.40x = 462,907.20 × 238,563.20
  4. Step 4: Simplify right side
    308,374.40x = 110,432,622,935.04
  5. Step 5: Solve for x
    x = 110,432,622,935.04/308,374.40
  6. Step 6: Final answer
    x = 358,112.16

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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.