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Finding the Fourth Proportional to 522,716.82, 783,981.54 and 138,468.21

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Solution

The fourth proportional to 522,716.82, 783,981.54 and 138,468.21 is: 207,677.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,716.82 : 783,981.54 = 138,468.21 : x
  2. Step 2: Convert to fraction form
    522,716.82/783,981.54 = 138,468.21/x
  3. Step 3: Cross multiply
    522,716.82x = 783,981.54 × 138,468.21
  4. Step 4: Simplify right side
    522,716.82x = 108,556,520,516.84
  5. Step 5: Solve for x
    x = 108,556,520,516.84/522,716.82
  6. Step 6: Final answer
    x = 207,677.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.