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Finding the Fourth Proportional to 302,545.14, 417,522.24 and 166,589.07

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Solution

The fourth proportional to 302,545.14, 417,522.24 and 166,589.07 is: 229,898.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,545.14 : 417,522.24 = 166,589.07 : x
  2. Step 2: Convert to fraction form
    302,545.14/417,522.24 = 166,589.07/x
  3. Step 3: Cross multiply
    302,545.14x = 417,522.24 × 166,589.07
  4. Step 4: Simplify right side
    302,545.14x = 69,554,641,665.92
  5. Step 5: Solve for x
    x = 69,554,641,665.92/302,545.14
  6. Step 6: Final answer
    x = 229,898.39

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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.