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Finding the Fourth Proportional to 458,958.07, 688,706.79 and 192,698.11

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Solution

The fourth proportional to 458,958.07, 688,706.79 and 192,698.11 is: 289,160.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,958.07 : 688,706.79 = 192,698.11 : x
  2. Step 2: Convert to fraction form
    458,958.07/688,706.79 = 192,698.11/x
  3. Step 3: Cross multiply
    458,958.07x = 688,706.79 × 192,698.11
  4. Step 4: Simplify right side
    458,958.07x = 132,712,496,777.17
  5. Step 5: Solve for x
    x = 132,712,496,777.17/458,958.07
  6. Step 6: Final answer
    x = 289,160.39

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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.