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Finding the Fourth Proportional to 564,768.68, 779,462.40 and 338,435.24

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Solution

The fourth proportional to 564,768.68, 779,462.40 and 338,435.24 is: 467,089.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,768.68 : 779,462.40 = 338,435.24 : x
  2. Step 2: Convert to fraction form
    564,768.68/779,462.40 = 338,435.24/x
  3. Step 3: Cross multiply
    564,768.68x = 779,462.40 × 338,435.24
  4. Step 4: Simplify right side
    564,768.68x = 263,797,544,414.98
  5. Step 5: Solve for x
    x = 263,797,544,414.98/564,768.68
  6. Step 6: Final answer
    x = 467,089.54

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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.