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Finding the Fourth Proportional to 460,706.30, 691,157.88 and 161,196.66

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Solution

The fourth proportional to 460,706.30, 691,157.88 and 161,196.66 is: 241,829.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,706.30 : 691,157.88 = 161,196.66 : x
  2. Step 2: Convert to fraction form
    460,706.30/691,157.88 = 161,196.66/x
  3. Step 3: Cross multiply
    460,706.30x = 691,157.88 × 161,196.66
  4. Step 4: Simplify right side
    460,706.30x = 111,412,341,788.68
  5. Step 5: Solve for x
    x = 111,412,341,788.68/460,706.30
  6. Step 6: Final answer
    x = 241,829.43

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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.