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Finding the Fourth Proportional to 308,309.76, 462,462.24 and 158,592

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Solution

The fourth proportional to 308,309.76, 462,462.24 and 158,592 is: 237,886.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,309.76 : 462,462.24 = 158,592 : x
  2. Step 2: Convert to fraction form
    308,309.76/462,462.24 = 158,592/x
  3. Step 3: Cross multiply
    308,309.76x = 462,462.24 × 158,592
  4. Step 4: Simplify right side
    308,309.76x = 73,342,811,566.08
  5. Step 5: Solve for x
    x = 73,342,811,566.08/308,309.76
  6. Step 6: Final answer
    x = 237,886.77

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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.