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Finding the Fourth Proportional to 460,778.34, 691,063.83 and 165,290.34

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Solution

The fourth proportional to 460,778.34, 691,063.83 and 165,290.34 is: 247,898.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,778.34 : 691,063.83 = 165,290.34 : x
  2. Step 2: Convert to fraction form
    460,778.34/691,063.83 = 165,290.34/x
  3. Step 3: Cross multiply
    460,778.34x = 691,063.83 × 165,290.34
  4. Step 4: Simplify right side
    460,778.34x = 114,226,175,422.40
  5. Step 5: Solve for x
    x = 114,226,175,422.40/460,778.34
  6. Step 6: Final answer
    x = 247,898.32

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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.