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Finding the Fourth Proportional to 430,311, 593,829.18 and 251,463

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Solution

The fourth proportional to 430,311, 593,829.18 and 251,463 is: 347,018.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,311 : 593,829.18 = 251,463 : x
  2. Step 2: Convert to fraction form
    430,311/593,829.18 = 251,463/x
  3. Step 3: Cross multiply
    430,311x = 593,829.18 × 251,463
  4. Step 4: Simplify right side
    430,311x = 149,326,067,090.34
  5. Step 5: Solve for x
    x = 149,326,067,090.34/430,311
  6. Step 6: Final answer
    x = 347,018.94

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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.