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Finding the Fourth Proportional to 507,208.43, 700,676.71 and 405,099.83

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Solution

The fourth proportional to 507,208.43, 700,676.71 and 405,099.83 is: 559,620.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,208.43 : 700,676.71 = 405,099.83 : x
  2. Step 2: Convert to fraction form
    507,208.43/700,676.71 = 405,099.83/x
  3. Step 3: Cross multiply
    507,208.43x = 700,676.71 × 405,099.83
  4. Step 4: Simplify right side
    507,208.43x = 283,844,011,589.83
  5. Step 5: Solve for x
    x = 283,844,011,589.83/507,208.43
  6. Step 6: Final answer
    x = 559,620.06

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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.