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Finding the Fourth Proportional to 302,827.33, 417,920.33 and 166,861.24

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Solution

The fourth proportional to 302,827.33, 417,920.33 and 166,861.24 is: 230,278.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,827.33 : 417,920.33 = 166,861.24 : x
  2. Step 2: Convert to fraction form
    302,827.33/417,920.33 = 166,861.24/x
  3. Step 3: Cross multiply
    302,827.33x = 417,920.33 × 166,861.24
  4. Step 4: Simplify right side
    302,827.33x = 69,734,704,094.17
  5. Step 5: Solve for x
    x = 69,734,704,094.17/302,827.33
  6. Step 6: Final answer
    x = 230,278.77

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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.