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Finding the Fourth Proportional to 654,014.52, 980,701.76 and 269,691.53

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Solution

The fourth proportional to 654,014.52, 980,701.76 and 269,691.53 is: 404,405.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,014.52 : 980,701.76 = 269,691.53 : x
  2. Step 2: Convert to fraction form
    654,014.52/980,701.76 = 269,691.53/x
  3. Step 3: Cross multiply
    654,014.52x = 980,701.76 × 269,691.53
  4. Step 4: Simplify right side
    654,014.52x = 264,486,953,898.81
  5. Step 5: Solve for x
    x = 264,486,953,898.81/654,014.52
  6. Step 6: Final answer
    x = 404,405.32

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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.