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Finding the Fourth Proportional to 412,894.98, 619,400.22 and 128,606.17

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Solution

The fourth proportional to 412,894.98, 619,400.22 and 128,606.17 is: 192,927.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,894.98 : 619,400.22 = 128,606.17 : x
  2. Step 2: Convert to fraction form
    412,894.98/619,400.22 = 128,606.17/x
  3. Step 3: Cross multiply
    412,894.98x = 619,400.22 × 128,606.17
  4. Step 4: Simplify right side
    412,894.98x = 79,658,689,991.36
  5. Step 5: Solve for x
    x = 79,658,689,991.36/412,894.98
  6. Step 6: Final answer
    x = 192,927.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.