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Finding the Fourth Proportional to 267,898.25, 401,307.54 and 177,991.59

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Solution

The fourth proportional to 267,898.25, 401,307.54 and 177,991.59 is: 266,628.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,898.25 : 401,307.54 = 177,991.59 : x
  2. Step 2: Convert to fraction form
    267,898.25/401,307.54 = 177,991.59/x
  3. Step 3: Cross multiply
    267,898.25x = 401,307.54 × 177,991.59
  4. Step 4: Simplify right side
    267,898.25x = 71,429,367,457.32
  5. Step 5: Solve for x
    x = 71,429,367,457.32/267,898.25
  6. Step 6: Final answer
    x = 266,628.72

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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.