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Finding the Fourth Proportional to 467,715.36, 701,581.68 and 152,171.04

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Solution

The fourth proportional to 467,715.36, 701,581.68 and 152,171.04 is: 228,259.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,715.36 : 701,581.68 = 152,171.04 : x
  2. Step 2: Convert to fraction form
    467,715.36/701,581.68 = 152,171.04/x
  3. Step 3: Cross multiply
    467,715.36x = 701,581.68 × 152,171.04
  4. Step 4: Simplify right side
    467,715.36x = 106,760,413,890.55
  5. Step 5: Solve for x
    x = 106,760,413,890.55/467,715.36
  6. Step 6: Final answer
    x = 228,259.37

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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.