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Finding the Fourth Proportional to 462,416.22, 693,658.35 and 196,146.54

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Solution

The fourth proportional to 462,416.22, 693,658.35 and 196,146.54 is: 294,234.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,416.22 : 693,658.35 = 196,146.54 : x
  2. Step 2: Convert to fraction form
    462,416.22/693,658.35 = 196,146.54/x
  3. Step 3: Cross multiply
    462,416.22x = 693,658.35 × 196,146.54
  4. Step 4: Simplify right side
    462,416.22x = 136,058,685,294.61
  5. Step 5: Solve for x
    x = 136,058,685,294.61/462,416.22
  6. Step 6: Final answer
    x = 294,234.24

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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.