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Finding the Fourth Proportional to 460,670.83, 691,104.65 and 161,161.18

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Solution

The fourth proportional to 460,670.83, 691,104.65 and 161,161.18 is: 241,776.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,670.83 : 691,104.65 = 161,161.18 : x
  2. Step 2: Convert to fraction form
    460,670.83/691,104.65 = 161,161.18/x
  3. Step 3: Cross multiply
    460,670.83x = 691,104.65 × 161,161.18
  4. Step 4: Simplify right side
    460,670.83x = 111,379,240,897.49
  5. Step 5: Solve for x
    x = 111,379,240,897.49/460,670.83
  6. Step 6: Final answer
    x = 241,776.20

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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.