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Finding the Fourth Proportional to 709,032.78, 978,468.30 and 386,749.80

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Solution

The fourth proportional to 709,032.78, 978,468.30 and 386,749.80 is: 533,716.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,032.78 : 978,468.30 = 386,749.80 : x
  2. Step 2: Convert to fraction form
    709,032.78/978,468.30 = 386,749.80/x
  3. Step 3: Cross multiply
    709,032.78x = 978,468.30 × 386,749.80
  4. Step 4: Simplify right side
    709,032.78x = 378,422,419,331.34
  5. Step 5: Solve for x
    x = 378,422,419,331.34/709,032.78
  6. Step 6: Final answer
    x = 533,716.40

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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.