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Finding the Fourth Proportional to 582,144, 803,396.16 and 352,859.52

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Solution

The fourth proportional to 582,144, 803,396.16 and 352,859.52 is: 486,968.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,144 : 803,396.16 = 352,859.52 : x
  2. Step 2: Convert to fraction form
    582,144/803,396.16 = 352,859.52/x
  3. Step 3: Cross multiply
    582,144x = 803,396.16 × 352,859.52
  4. Step 4: Simplify right side
    582,144x = 283,485,983,387.44
  5. Step 5: Solve for x
    x = 283,485,983,387.44/582,144
  6. Step 6: Final answer
    x = 486,968.83

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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.