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Finding the Fourth Proportional to 582,876, 804,718.80 and 382,021.92

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Solution

The fourth proportional to 582,876, 804,718.80 and 382,021.92 is: 527,419.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,876 : 804,718.80 = 382,021.92 : x
  2. Step 2: Convert to fraction form
    582,876/804,718.80 = 382,021.92/x
  3. Step 3: Cross multiply
    582,876x = 804,718.80 × 382,021.92
  4. Step 4: Simplify right side
    582,876x = 307,420,221,036.10
  5. Step 5: Solve for x
    x = 307,420,221,036.10/582,876
  6. Step 6: Final answer
    x = 527,419.59

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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.