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Finding the Fourth Proportional to 564,810.54, 779,456.86 and 323,093.58

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Solution

The fourth proportional to 564,810.54, 779,456.86 and 323,093.58 is: 445,879.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,810.54 : 779,456.86 = 323,093.58 : x
  2. Step 2: Convert to fraction form
    564,810.54/779,456.86 = 323,093.58/x
  3. Step 3: Cross multiply
    564,810.54x = 779,456.86 × 323,093.58
  4. Step 4: Simplify right side
    564,810.54x = 251,837,507,352.96
  5. Step 5: Solve for x
    x = 251,837,507,352.96/564,810.54
  6. Step 6: Final answer
    x = 445,879.62

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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.