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Finding the Fourth Proportional to 302,908.88, 418,014.60 and 175,658.42

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Solution

The fourth proportional to 302,908.88, 418,014.60 and 175,658.42 is: 242,408.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,908.88 : 418,014.60 = 175,658.42 : x
  2. Step 2: Convert to fraction form
    302,908.88/418,014.60 = 175,658.42/x
  3. Step 3: Cross multiply
    302,908.88x = 418,014.60 × 175,658.42
  4. Step 4: Simplify right side
    302,908.88x = 73,427,784,172.93
  5. Step 5: Solve for x
    x = 73,427,784,172.93/302,908.88
  6. Step 6: Final answer
    x = 242,408.82

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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.