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Finding the Fourth Proportional to 709,098.24, 978,549.32 and 386,801.41

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Solution

The fourth proportional to 709,098.24, 978,549.32 and 386,801.41 is: 533,782.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,098.24 : 978,549.32 = 386,801.41 : x
  2. Step 2: Convert to fraction form
    709,098.24/978,549.32 = 386,801.41/x
  3. Step 3: Cross multiply
    709,098.24x = 978,549.32 × 386,801.41
  4. Step 4: Simplify right side
    709,098.24x = 378,504,256,730.54
  5. Step 5: Solve for x
    x = 378,504,256,730.54/709,098.24
  6. Step 6: Final answer
    x = 533,782.54

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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.