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Finding the Fourth Proportional to 422,020.17, 633,031.38 and 106,477.08

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Solution

The fourth proportional to 422,020.17, 633,031.38 and 106,477.08 is: 159,715.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,020.17 : 633,031.38 = 106,477.08 : x
  2. Step 2: Convert to fraction form
    422,020.17/633,031.38 = 106,477.08/x
  3. Step 3: Cross multiply
    422,020.17x = 633,031.38 × 106,477.08
  4. Step 4: Simplify right side
    422,020.17x = 67,403,332,890.77
  5. Step 5: Solve for x
    x = 67,403,332,890.77/422,020.17
  6. Step 6: Final answer
    x = 159,715.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.