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Finding the Fourth Proportional to 582,100.32, 803,290.08 and 327,451.68

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Solution

The fourth proportional to 582,100.32, 803,290.08 and 327,451.68 is: 451,878.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,100.32 : 803,290.08 = 327,451.68 : x
  2. Step 2: Convert to fraction form
    582,100.32/803,290.08 = 327,451.68/x
  3. Step 3: Cross multiply
    582,100.32x = 803,290.08 × 327,451.68
  4. Step 4: Simplify right side
    582,100.32x = 263,038,686,223.33
  5. Step 5: Solve for x
    x = 263,038,686,223.33/582,100.32
  6. Step 6: Final answer
    x = 451,878.61

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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.