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Finding the Fourth Proportional to 612,838.34, 919,257.78 and 192,147.02

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Solution

The fourth proportional to 612,838.34, 919,257.78 and 192,147.02 is: 288,220.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,838.34 : 919,257.78 = 192,147.02 : x
  2. Step 2: Convert to fraction form
    612,838.34/919,257.78 = 192,147.02/x
  3. Step 3: Cross multiply
    612,838.34x = 919,257.78 × 192,147.02
  4. Step 4: Simplify right side
    612,838.34x = 176,632,643,038.82
  5. Step 5: Solve for x
    x = 176,632,643,038.82/612,838.34
  6. Step 6: Final answer
    x = 288,220.61

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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.