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Finding the Fourth Proportional to 582,646.26, 804,092.27 and 353,213.22

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Solution

The fourth proportional to 582,646.26, 804,092.27 and 353,213.22 is: 487,458.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,646.26 : 804,092.27 = 353,213.22 : x
  2. Step 2: Convert to fraction form
    582,646.26/804,092.27 = 353,213.22/x
  3. Step 3: Cross multiply
    582,646.26x = 804,092.27 × 353,213.22
  4. Step 4: Simplify right side
    582,646.26x = 284,016,018,097.74
  5. Step 5: Solve for x
    x = 284,016,018,097.74/582,646.26
  6. Step 6: Final answer
    x = 487,458.75

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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.