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Finding the Fourth Proportional to 302,408.40, 417,299.13 and 175,092.06

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Solution

The fourth proportional to 302,408.40, 417,299.13 and 175,092.06 is: 241,612.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,408.40 : 417,299.13 = 175,092.06 : x
  2. Step 2: Convert to fraction form
    302,408.40/417,299.13 = 175,092.06/x
  3. Step 3: Cross multiply
    302,408.40x = 417,299.13 × 175,092.06
  4. Step 4: Simplify right side
    302,408.40x = 73,065,764,307.91
  5. Step 5: Solve for x
    x = 73,065,764,307.91/302,408.40
  6. Step 6: Final answer
    x = 241,612.88

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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.