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Finding the Fourth Proportional to 709,027.78, 978,461.38 and 386,744.80

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Solution

The fourth proportional to 709,027.78, 978,461.38 and 386,744.80 is: 533,709.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,027.78 : 978,461.38 = 386,744.80 : x
  2. Step 2: Convert to fraction form
    709,027.78/978,461.38 = 386,744.80/x
  3. Step 3: Cross multiply
    709,027.78x = 978,461.38 × 386,744.80
  4. Step 4: Simplify right side
    709,027.78x = 378,414,850,715.82
  5. Step 5: Solve for x
    x = 378,414,850,715.82/709,027.78
  6. Step 6: Final answer
    x = 533,709.48

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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.