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Finding the Fourth Proportional to 564,946.39, 779,761.79 and 323,369.02

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Solution

The fourth proportional to 564,946.39, 779,761.79 and 323,369.02 is: 446,326.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,946.39 : 779,761.79 = 323,369.02 : x
  2. Step 2: Convert to fraction form
    564,946.39/779,761.79 = 323,369.02/x
  3. Step 3: Cross multiply
    564,946.39x = 779,761.79 × 323,369.02
  4. Step 4: Simplify right side
    564,946.39x = 252,150,805,865.75
  5. Step 5: Solve for x
    x = 252,150,805,865.75/564,946.39
  6. Step 6: Final answer
    x = 446,326.96

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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.