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Finding the Fourth Proportional to 564,493.38, 779,003.37 and 309,846.66

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Solution

The fourth proportional to 564,493.38, 779,003.37 and 309,846.66 is: 427,589.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,493.38 : 779,003.37 = 309,846.66 : x
  2. Step 2: Convert to fraction form
    564,493.38/779,003.37 = 309,846.66/x
  3. Step 3: Cross multiply
    564,493.38x = 779,003.37 × 309,846.66
  4. Step 4: Simplify right side
    564,493.38x = 241,371,592,323.24
  5. Step 5: Solve for x
    x = 241,371,592,323.24/564,493.38
  6. Step 6: Final answer
    x = 427,589.77

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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.