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Finding the Fourth Proportional to 492,767.08, 679,402.43 and 411,212.83

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Solution

The fourth proportional to 492,767.08, 679,402.43 and 411,212.83 is: 566,959.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,767.08 : 679,402.43 = 411,212.83 : x
  2. Step 2: Convert to fraction form
    492,767.08/679,402.43 = 411,212.83/x
  3. Step 3: Cross multiply
    492,767.08x = 679,402.43 × 411,212.83
  4. Step 4: Simplify right side
    492,767.08x = 279,378,995,949.18
  5. Step 5: Solve for x
    x = 279,378,995,949.18/492,767.08
  6. Step 6: Final answer
    x = 566,959.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.