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Finding the Fourth Proportional to 295,994.30, 444,103.30 and 177,748.08

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Solution

The fourth proportional to 295,994.30, 444,103.30 and 177,748.08 is: 266,689.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,994.30 : 444,103.30 = 177,748.08 : x
  2. Step 2: Convert to fraction form
    295,994.30/444,103.30 = 177,748.08/x
  3. Step 3: Cross multiply
    295,994.30x = 444,103.30 × 177,748.08
  4. Step 4: Simplify right side
    295,994.30x = 78,938,508,896.66
  5. Step 5: Solve for x
    x = 78,938,508,896.66/295,994.30
  6. Step 6: Final answer
    x = 266,689.29

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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.