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Finding the Fourth Proportional to 308,574, 462,204.72 and 182,077.92

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Solution

The fourth proportional to 308,574, 462,204.72 and 182,077.92 is: 272,729.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,574 : 462,204.72 = 182,077.92 : x
  2. Step 2: Convert to fraction form
    308,574/462,204.72 = 182,077.92/x
  3. Step 3: Cross multiply
    308,574x = 462,204.72 × 182,077.92
  4. Step 4: Simplify right side
    308,574x = 84,157,274,031.78
  5. Step 5: Solve for x
    x = 84,157,274,031.78/308,574
  6. Step 6: Final answer
    x = 272,729.63

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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.