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Finding the Fourth Proportional to 584,767.11, 806,971.90 and 343,003.17

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Solution

The fourth proportional to 584,767.11, 806,971.90 and 343,003.17 is: 473,340.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,767.11 : 806,971.90 = 343,003.17 : x
  2. Step 2: Convert to fraction form
    584,767.11/806,971.90 = 343,003.17/x
  3. Step 3: Cross multiply
    584,767.11x = 806,971.90 × 343,003.17
  4. Step 4: Simplify right side
    584,767.11x = 276,793,919,800.92
  5. Step 5: Solve for x
    x = 276,793,919,800.92/584,767.11
  6. Step 6: Final answer
    x = 473,340.44

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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.