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Finding the Fourth Proportional to 507,212.30, 700,682.06 and 405,103.70

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Solution

The fourth proportional to 507,212.30, 700,682.06 and 405,103.70 is: 559,625.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,212.30 : 700,682.06 = 405,103.70 : x
  2. Step 2: Convert to fraction form
    507,212.30/700,682.06 = 405,103.70/x
  3. Step 3: Cross multiply
    507,212.30x = 700,682.06 × 405,103.70
  4. Step 4: Simplify right side
    507,212.30x = 283,848,895,029.62
  5. Step 5: Solve for x
    x = 283,848,895,029.62/507,212.30
  6. Step 6: Final answer
    x = 559,625.42

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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.