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Finding the Fourth Proportional to 641,266.53, 961,899.04 and 257,188.69

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Solution

The fourth proportional to 641,266.53, 961,899.04 and 257,188.69 is: 385,782.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,266.53 : 961,899.04 = 257,188.69 : x
  2. Step 2: Convert to fraction form
    641,266.53/961,899.04 = 257,188.69/x
  3. Step 3: Cross multiply
    641,266.53x = 961,899.04 × 257,188.69
  4. Step 4: Simplify right side
    641,266.53x = 247,389,554,009.86
  5. Step 5: Solve for x
    x = 247,389,554,009.86/641,266.53
  6. Step 6: Final answer
    x = 385,782.73

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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.