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Finding the Fourth Proportional to 540,950.24, 811,891.92 and 208,759.52

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Solution

The fourth proportional to 540,950.24, 811,891.92 and 208,759.52 is: 313,319.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,950.24 : 811,891.92 = 208,759.52 : x
  2. Step 2: Convert to fraction form
    540,950.24/811,891.92 = 208,759.52/x
  3. Step 3: Cross multiply
    540,950.24x = 811,891.92 × 208,759.52
  4. Step 4: Simplify right side
    540,950.24x = 169,490,167,511.08
  5. Step 5: Solve for x
    x = 169,490,167,511.08/540,950.24
  6. Step 6: Final answer
    x = 313,319.33

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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.