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Finding the Fourth Proportional to 306,889.56, 460,036.80 and 157,200.48

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Solution

The fourth proportional to 306,889.56, 460,036.80 and 157,200.48 is: 235,648.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,889.56 : 460,036.80 = 157,200.48 : x
  2. Step 2: Convert to fraction form
    306,889.56/460,036.80 = 157,200.48/x
  3. Step 3: Cross multiply
    306,889.56x = 460,036.80 × 157,200.48
  4. Step 4: Simplify right side
    306,889.56x = 72,318,005,777.66
  5. Step 5: Solve for x
    x = 72,318,005,777.66/306,889.56
  6. Step 6: Final answer
    x = 235,648.31

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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.