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Finding the Fourth Proportional to 470,584.67, 705,564.95 and 171,029.66

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Solution

The fourth proportional to 470,584.67, 705,564.95 and 171,029.66 is: 256,431.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,584.67 : 705,564.95 = 171,029.66 : x
  2. Step 2: Convert to fraction form
    470,584.67/705,564.95 = 171,029.66/x
  3. Step 3: Cross multiply
    470,584.67x = 705,564.95 × 171,029.66
  4. Step 4: Simplify right side
    470,584.67x = 120,672,529,123.44
  5. Step 5: Solve for x
    x = 120,672,529,123.44/470,584.67
  6. Step 6: Final answer
    x = 256,431.07

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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.