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Finding the Fourth Proportional to 289,726.80, 433,553.40 and 264,843.60

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Solution

The fourth proportional to 289,726.80, 433,553.40 and 264,843.60 is: 396,317.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,726.80 : 433,553.40 = 264,843.60 : x
  2. Step 2: Convert to fraction form
    289,726.80/433,553.40 = 264,843.60/x
  3. Step 3: Cross multiply
    289,726.80x = 433,553.40 × 264,843.60
  4. Step 4: Simplify right side
    289,726.80x = 114,823,843,248.24
  5. Step 5: Solve for x
    x = 114,823,843,248.24/289,726.80
  6. Step 6: Final answer
    x = 396,317.65

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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.