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Finding the Fourth Proportional to 507,165.91, 760,568.74 and 187,249.32

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Solution

The fourth proportional to 507,165.91, 760,568.74 and 187,249.32 is: 280,807.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,165.91 : 760,568.74 = 187,249.32 : x
  2. Step 2: Convert to fraction form
    507,165.91/760,568.74 = 187,249.32/x
  3. Step 3: Cross multiply
    507,165.91x = 760,568.74 × 187,249.32
  4. Step 4: Simplify right side
    507,165.91x = 142,415,978,910.13
  5. Step 5: Solve for x
    x = 142,415,978,910.13/507,165.91
  6. Step 6: Final answer
    x = 280,807.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.