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Finding the Fourth Proportional to 582,006.80, 803,161.32 and 327,358.16

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Solution

The fourth proportional to 582,006.80, 803,161.32 and 327,358.16 is: 451,749.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,006.80 : 803,161.32 = 327,358.16 : x
  2. Step 2: Convert to fraction form
    582,006.80/803,161.32 = 327,358.16/x
  3. Step 3: Cross multiply
    582,006.80x = 803,161.32 × 327,358.16
  4. Step 4: Simplify right side
    582,006.80x = 262,921,411,898.37
  5. Step 5: Solve for x
    x = 262,921,411,898.37/582,006.80
  6. Step 6: Final answer
    x = 451,749.73

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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.