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Finding the Fourth Proportional to 306,741.33, 460,205.96 and 157,086.54

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Solution

The fourth proportional to 306,741.33, 460,205.96 and 157,086.54 is: 235,677.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,741.33 : 460,205.96 = 157,086.54 : x
  2. Step 2: Convert to fraction form
    306,741.33/460,205.96 = 157,086.54/x
  3. Step 3: Cross multiply
    306,741.33x = 460,205.96 × 157,086.54
  4. Step 4: Simplify right side
    306,741.33x = 72,292,161,158.35
  5. Step 5: Solve for x
    x = 72,292,161,158.35/306,741.33
  6. Step 6: Final answer
    x = 235,677.93

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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.