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Finding the Fourth Proportional to 564,647.76, 779,162.09 and 335,165.85

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Solution

The fourth proportional to 564,647.76, 779,162.09 and 335,165.85 is: 462,498.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,647.76 : 779,162.09 = 335,165.85 : x
  2. Step 2: Convert to fraction form
    564,647.76/779,162.09 = 335,165.85/x
  3. Step 3: Cross multiply
    564,647.76x = 779,162.09 × 335,165.85
  4. Step 4: Simplify right side
    564,647.76x = 261,148,522,506.80
  5. Step 5: Solve for x
    x = 261,148,522,506.80/564,647.76
  6. Step 6: Final answer
    x = 462,498.11

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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.