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Finding the Fourth Proportional to 507,105.88, 699,784.48 and 277,659

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Solution

The fourth proportional to 507,105.88, 699,784.48 and 277,659 is: 383,157.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,105.88 : 699,784.48 = 277,659 : x
  2. Step 2: Convert to fraction form
    507,105.88/699,784.48 = 277,659/x
  3. Step 3: Cross multiply
    507,105.88x = 699,784.48 × 277,659
  4. Step 4: Simplify right side
    507,105.88x = 194,301,458,932.32
  5. Step 5: Solve for x
    x = 194,301,458,932.32/507,105.88
  6. Step 6: Final answer
    x = 383,157.57

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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.