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Finding the Fourth Proportional to 306,718.23, 460,171.25 and 157,064.48

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Solution

The fourth proportional to 306,718.23, 460,171.25 and 157,064.48 is: 235,644.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,718.23 : 460,171.25 = 157,064.48 : x
  2. Step 2: Convert to fraction form
    306,718.23/460,171.25 = 157,064.48/x
  3. Step 3: Cross multiply
    306,718.23x = 460,171.25 × 157,064.48
  4. Step 4: Simplify right side
    306,718.23x = 72,276,558,092.20
  5. Step 5: Solve for x
    x = 72,276,558,092.20/306,718.23
  6. Step 6: Final answer
    x = 235,644.81

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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.