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Finding the Fourth Proportional to 564,284.82, 778,710.90 and 309,640.26

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Solution

The fourth proportional to 564,284.82, 778,710.90 and 309,640.26 is: 427,302.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,284.82 : 778,710.90 = 309,640.26 : x
  2. Step 2: Convert to fraction form
    564,284.82/778,710.90 = 309,640.26/x
  3. Step 3: Cross multiply
    564,284.82x = 778,710.90 × 309,640.26
  4. Step 4: Simplify right side
    564,284.82x = 241,120,245,540.83
  5. Step 5: Solve for x
    x = 241,120,245,540.83/564,284.82
  6. Step 6: Final answer
    x = 427,302.38

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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.