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Finding the Fourth Proportional to 529,815.86, 733,071.21 and 461,974.20

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Solution

The fourth proportional to 529,815.86, 733,071.21 and 461,974.20 is: 639,203.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,815.86 : 733,071.21 = 461,974.20 : x
  2. Step 2: Convert to fraction form
    529,815.86/733,071.21 = 461,974.20/x
  3. Step 3: Cross multiply
    529,815.86x = 733,071.21 × 461,974.20
  4. Step 4: Simplify right side
    529,815.86x = 338,659,985,782.78
  5. Step 5: Solve for x
    x = 338,659,985,782.78/529,815.86
  6. Step 6: Final answer
    x = 639,203.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.