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Finding the Fourth Proportional to 308,233.40, 462,350.10 and 160,470.20

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Solution

The fourth proportional to 308,233.40, 462,350.10 and 160,470.20 is: 240,705.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,233.40 : 462,350.10 = 160,470.20 : x
  2. Step 2: Convert to fraction form
    308,233.40/462,350.10 = 160,470.20/x
  3. Step 3: Cross multiply
    308,233.40x = 462,350.10 × 160,470.20
  4. Step 4: Simplify right side
    308,233.40x = 74,193,413,017.02
  5. Step 5: Solve for x
    x = 74,193,413,017.02/308,233.40
  6. Step 6: Final answer
    x = 240,705.30

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