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Finding the Fourth Proportional to 709,906.24, 978,005.64 and 494,655.76

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Solution

The fourth proportional to 709,906.24, 978,005.64 and 494,655.76 is: 681,464.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,906.24 : 978,005.64 = 494,655.76 : x
  2. Step 2: Convert to fraction form
    709,906.24/978,005.64 = 494,655.76/x
  3. Step 3: Cross multiply
    709,906.24x = 978,005.64 × 494,655.76
  4. Step 4: Simplify right side
    709,906.24x = 483,776,123,138.49
  5. Step 5: Solve for x
    x = 483,776,123,138.49/709,906.24
  6. Step 6: Final answer
    x = 681,464.81

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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.