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Finding the Fourth Proportional to 582,133.97, 803,343.64 and 327,485.16

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Solution

The fourth proportional to 582,133.97, 803,343.64 and 327,485.16 is: 451,928.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,133.97 : 803,343.64 = 327,485.16 : x
  2. Step 2: Convert to fraction form
    582,133.97/803,343.64 = 327,485.16/x
  3. Step 3: Cross multiply
    582,133.97x = 803,343.64 × 327,485.16
  4. Step 4: Simplify right side
    582,133.97x = 263,083,120,275.70
  5. Step 5: Solve for x
    x = 263,083,120,275.70/582,133.97
  6. Step 6: Final answer
    x = 451,928.82

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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.