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Finding the Fourth Proportional to 582,972.32, 804,873.24 and 475,797.98

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Solution

The fourth proportional to 582,972.32, 804,873.24 and 475,797.98 is: 656,904.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,972.32 : 804,873.24 = 475,797.98 : x
  2. Step 2: Convert to fraction form
    582,972.32/804,873.24 = 475,797.98/x
  3. Step 3: Cross multiply
    582,972.32x = 804,873.24 × 475,797.98
  4. Step 4: Simplify right side
    582,972.32x = 382,957,061,748.06
  5. Step 5: Solve for x
    x = 382,957,061,748.06/582,972.32
  6. Step 6: Final answer
    x = 656,904.37

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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.