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Finding the Fourth Proportional to 565,063.86, 779,796.49 and 306,945.82

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Solution

The fourth proportional to 565,063.86, 779,796.49 and 306,945.82 is: 423,589.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,063.86 : 779,796.49 = 306,945.82 : x
  2. Step 2: Convert to fraction form
    565,063.86/779,796.49 = 306,945.82/x
  3. Step 3: Cross multiply
    565,063.86x = 779,796.49 × 306,945.82
  4. Step 4: Simplify right side
    565,063.86x = 239,355,269,157.19
  5. Step 5: Solve for x
    x = 239,355,269,157.19/565,063.86
  6. Step 6: Final answer
    x = 423,589.77

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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.