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Finding the Fourth Proportional to 404,415, 558,092.70 and 225,567

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Solution

The fourth proportional to 404,415, 558,092.70 and 225,567 is: 311,282.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,415 : 558,092.70 = 225,567 : x
  2. Step 2: Convert to fraction form
    404,415/558,092.70 = 225,567/x
  3. Step 3: Cross multiply
    404,415x = 558,092.70 × 225,567
  4. Step 4: Simplify right side
    404,415x = 125,887,296,060.90
  5. Step 5: Solve for x
    x = 125,887,296,060.90/404,415
  6. Step 6: Final answer
    x = 311,282.46

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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.