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Finding the Fourth Proportional to 302,221.76, 417,080.13 and 174,872.72

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Solution

The fourth proportional to 302,221.76, 417,080.13 and 174,872.72 is: 241,332.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,221.76 : 417,080.13 = 174,872.72 : x
  2. Step 2: Convert to fraction form
    302,221.76/417,080.13 = 174,872.72/x
  3. Step 3: Cross multiply
    302,221.76x = 417,080.13 × 174,872.72
  4. Step 4: Simplify right side
    302,221.76x = 72,935,936,791.05
  5. Step 5: Solve for x
    x = 72,935,936,791.05/302,221.76
  6. Step 6: Final answer
    x = 241,332.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.