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Finding the Fourth Proportional to 302,914.38, 418,022.19 and 175,663.92

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Solution

The fourth proportional to 302,914.38, 418,022.19 and 175,663.92 is: 242,416.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,914.38 : 418,022.19 = 175,663.92 : x
  2. Step 2: Convert to fraction form
    302,914.38/418,022.19 = 175,663.92/x
  3. Step 3: Cross multiply
    302,914.38x = 418,022.19 × 175,663.92
  4. Step 4: Simplify right side
    302,914.38x = 73,431,416,542.38
  5. Step 5: Solve for x
    x = 73,431,416,542.38/302,914.38
  6. Step 6: Final answer
    x = 242,416.41

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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.