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Finding the Fourth Proportional to 564,857.89, 779,513.25 and 306,735.37

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Solution

The fourth proportional to 564,857.89, 779,513.25 and 306,735.37 is: 423,299.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,857.89 : 779,513.25 = 306,735.37 : x
  2. Step 2: Convert to fraction form
    564,857.89/779,513.25 = 306,735.37/x
  3. Step 3: Cross multiply
    564,857.89x = 779,513.25 × 306,735.37
  4. Step 4: Simplify right side
    564,857.89x = 239,104,285,158.65
  5. Step 5: Solve for x
    x = 239,104,285,158.65/564,857.89
  6. Step 6: Final answer
    x = 423,299.89

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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.