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Finding the Fourth Proportional to 308,068.96, 462,116.40 and 150,436.48

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Solution

The fourth proportional to 308,068.96, 462,116.40 and 150,436.48 is: 225,661.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,068.96 : 462,116.40 = 150,436.48 : x
  2. Step 2: Convert to fraction form
    308,068.96/462,116.40 = 150,436.48/x
  3. Step 3: Cross multiply
    308,068.96x = 462,116.40 × 150,436.48
  4. Step 4: Simplify right side
    308,068.96x = 69,519,164,566.27
  5. Step 5: Solve for x
    x = 69,519,164,566.27/308,068.96
  6. Step 6: Final answer
    x = 225,661.05

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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.