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Finding the Fourth Proportional to 529,064.44, 729,995.34 and 314,276.92

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Solution

The fourth proportional to 529,064.44, 729,995.34 and 314,276.92 is: 433,634.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,064.44 : 729,995.34 = 314,276.92 : x
  2. Step 2: Convert to fraction form
    529,064.44/729,995.34 = 314,276.92/x
  3. Step 3: Cross multiply
    529,064.44x = 729,995.34 × 314,276.92
  4. Step 4: Simplify right side
    529,064.44x = 229,420,687,069.55
  5. Step 5: Solve for x
    x = 229,420,687,069.55/529,064.44
  6. Step 6: Final answer
    x = 433,634.68

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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.