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Finding the Fourth Proportional to 401,166.52, 553,616.34 and 219,895.84

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Solution

The fourth proportional to 401,166.52, 553,616.34 and 219,895.84 is: 303,459.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,166.52 : 553,616.34 = 219,895.84 : x
  2. Step 2: Convert to fraction form
    401,166.52/553,616.34 = 219,895.84/x
  3. Step 3: Cross multiply
    401,166.52x = 553,616.34 × 219,895.84
  4. Step 4: Simplify right side
    401,166.52x = 121,737,930,122.03
  5. Step 5: Solve for x
    x = 121,737,930,122.03/401,166.52
  6. Step 6: Final answer
    x = 303,459.85

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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.