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Finding the Fourth Proportional to 306,991.62, 460,561.18 and 117,448.90

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Solution

The fourth proportional to 306,991.62, 460,561.18 and 117,448.90 is: 176,201.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,991.62 : 460,561.18 = 117,448.90 : x
  2. Step 2: Convert to fraction form
    306,991.62/460,561.18 = 117,448.90/x
  3. Step 3: Cross multiply
    306,991.62x = 460,561.18 × 117,448.90
  4. Step 4: Simplify right side
    306,991.62x = 54,092,403,973.70
  5. Step 5: Solve for x
    x = 54,092,403,973.70/306,991.62
  6. Step 6: Final answer
    x = 176,201.57

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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.