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Finding the Fourth Proportional to 308,937.40, 462,822.90 and 158,666.20

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Solution

The fourth proportional to 308,937.40, 462,822.90 and 158,666.20 is: 237,699.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,937.40 : 462,822.90 = 158,666.20 : x
  2. Step 2: Convert to fraction form
    308,937.40/462,822.90 = 158,666.20/x
  3. Step 3: Cross multiply
    308,937.40x = 462,822.90 × 158,666.20
  4. Step 4: Simplify right side
    308,937.40x = 73,434,350,815.98
  5. Step 5: Solve for x
    x = 73,434,350,815.98/308,937.40
  6. Step 6: Final answer
    x = 237,699.78

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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.