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Finding the Fourth Proportional to 294,803.62, 406,843.43 and 165,782.70

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Solution

The fourth proportional to 294,803.62, 406,843.43 and 165,782.70 is: 228,788.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,803.62 : 406,843.43 = 165,782.70 : x
  2. Step 2: Convert to fraction form
    294,803.62/406,843.43 = 165,782.70/x
  3. Step 3: Cross multiply
    294,803.62x = 406,843.43 × 165,782.70
  4. Step 4: Simplify right side
    294,803.62x = 67,447,601,473.75
  5. Step 5: Solve for x
    x = 67,447,601,473.75/294,803.62
  6. Step 6: Final answer
    x = 228,788.24

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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.