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Finding the Fourth Proportional to 613,846.16, 847,238.42 and 412,525.52

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Solution

The fourth proportional to 613,846.16, 847,238.42 and 412,525.52 is: 569,373.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,846.16 : 847,238.42 = 412,525.52 : x
  2. Step 2: Convert to fraction form
    613,846.16/847,238.42 = 412,525.52/x
  3. Step 3: Cross multiply
    613,846.16x = 847,238.42 × 412,525.52
  4. Step 4: Simplify right side
    613,846.16x = 349,507,469,774.48
  5. Step 5: Solve for x
    x = 349,507,469,774.48/613,846.16
  6. Step 6: Final answer
    x = 569,373.07

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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.