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Finding the Fourth Proportional to 413,826, 571,080.48 and 234,978

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Solution

The fourth proportional to 413,826, 571,080.48 and 234,978 is: 324,269.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,826 : 571,080.48 = 234,978 : x
  2. Step 2: Convert to fraction form
    413,826/571,080.48 = 234,978/x
  3. Step 3: Cross multiply
    413,826x = 571,080.48 × 234,978
  4. Step 4: Simplify right side
    413,826x = 134,191,349,029.44
  5. Step 5: Solve for x
    x = 134,191,349,029.44/413,826
  6. Step 6: Final answer
    x = 324,269.98

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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.