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Finding the Fourth Proportional to 308,270.72, 462,403.92 and 158,552.76

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Solution

The fourth proportional to 308,270.72, 462,403.92 and 158,552.76 is: 237,828.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,270.72 : 462,403.92 = 158,552.76 : x
  2. Step 2: Convert to fraction form
    308,270.72/462,403.92 = 158,552.76/x
  3. Step 3: Cross multiply
    308,270.72x = 462,403.92 × 158,552.76
  4. Step 4: Simplify right side
    308,270.72x = 73,315,417,750.82
  5. Step 5: Solve for x
    x = 73,315,417,750.82/308,270.72
  6. Step 6: Final answer
    x = 237,828.03

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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.