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Finding the Fourth Proportional to 522,240.84, 783,317.52 and 206,613

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Solution

The fourth proportional to 522,240.84, 783,317.52 and 206,613 is: 309,902.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,240.84 : 783,317.52 = 206,613 : x
  2. Step 2: Convert to fraction form
    522,240.84/783,317.52 = 206,613/x
  3. Step 3: Cross multiply
    522,240.84x = 783,317.52 × 206,613
  4. Step 4: Simplify right side
    522,240.84x = 161,843,582,759.76
  5. Step 5: Solve for x
    x = 161,843,582,759.76/522,240.84
  6. Step 6: Final answer
    x = 309,902.20

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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.