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Finding the Fourth Proportional to 308,953.70, 462,912.15 and 150,841.70

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Solution

The fourth proportional to 308,953.70, 462,912.15 and 150,841.70 is: 226,009.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,953.70 : 462,912.15 = 150,841.70 : x
  2. Step 2: Convert to fraction form
    308,953.70/462,912.15 = 150,841.70/x
  3. Step 3: Cross multiply
    308,953.70x = 462,912.15 × 150,841.70
  4. Step 4: Simplify right side
    308,953.70x = 69,826,455,656.66
  5. Step 5: Solve for x
    x = 69,826,455,656.66/308,953.70
  6. Step 6: Final answer
    x = 226,009.45

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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.