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Finding the Fourth Proportional to 302,562.78, 417,592.68 and 175,238.38

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Solution

The fourth proportional to 302,562.78, 417,592.68 and 175,238.38 is: 241,861.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,562.78 : 417,592.68 = 175,238.38 : x
  2. Step 2: Convert to fraction form
    302,562.78/417,592.68 = 175,238.38/x
  3. Step 3: Cross multiply
    302,562.78x = 417,592.68 × 175,238.38
  4. Step 4: Simplify right side
    302,562.78x = 73,178,264,743.06
  5. Step 5: Solve for x
    x = 73,178,264,743.06/302,562.78
  6. Step 6: Final answer
    x = 241,861.42

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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.