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Finding the Fourth Proportional to 458,958.57, 688,707.54 and 192,698.61

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Solution

The fourth proportional to 458,958.57, 688,707.54 and 192,698.61 is: 289,161.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,958.57 : 688,707.54 = 192,698.61 : x
  2. Step 2: Convert to fraction form
    458,958.57/688,707.54 = 192,698.61/x
  3. Step 3: Cross multiply
    458,958.57x = 688,707.54 × 192,698.61
  4. Step 4: Simplify right side
    458,958.57x = 132,712,985,654.52
  5. Step 5: Solve for x
    x = 132,712,985,654.52/458,958.57
  6. Step 6: Final answer
    x = 289,161.15

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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.