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Finding the Fourth Proportional to 302,467.40, 417,380.28 and 175,151.24

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Solution

The fourth proportional to 302,467.40, 417,380.28 and 175,151.24 is: 241,694.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,467.40 : 417,380.28 = 175,151.24 : x
  2. Step 2: Convert to fraction form
    302,467.40/417,380.28 = 175,151.24/x
  3. Step 3: Cross multiply
    302,467.40x = 417,380.28 × 175,151.24
  4. Step 4: Simplify right side
    302,467.40x = 73,104,673,593.55
  5. Step 5: Solve for x
    x = 73,104,673,593.55/302,467.40
  6. Step 6: Final answer
    x = 241,694.39

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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.