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Finding the Fourth Proportional to 564,198.72, 778,580.16 and 315,837.24

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Solution

The fourth proportional to 564,198.72, 778,580.16 and 315,837.24 is: 435,847.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,198.72 : 778,580.16 = 315,837.24 : x
  2. Step 2: Convert to fraction form
    564,198.72/778,580.16 = 315,837.24/x
  3. Step 3: Cross multiply
    564,198.72x = 778,580.16 × 315,837.24
  4. Step 4: Simplify right side
    564,198.72x = 245,904,608,853.16
  5. Step 5: Solve for x
    x = 245,904,608,853.16/564,198.72
  6. Step 6: Final answer
    x = 435,847.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.