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Finding the Fourth Proportional to 306,677.12, 460,109.79 and 157,022.48

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Solution

The fourth proportional to 306,677.12, 460,109.79 and 157,022.48 is: 235,581.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,677.12 : 460,109.79 = 157,022.48 : x
  2. Step 2: Convert to fraction form
    306,677.12/460,109.79 = 157,022.48/x
  3. Step 3: Cross multiply
    306,677.12x = 460,109.79 × 157,022.48
  4. Step 4: Simplify right side
    306,677.12x = 72,247,577,997.53
  5. Step 5: Solve for x
    x = 72,247,577,997.53/306,677.12
  6. Step 6: Final answer
    x = 235,581.90

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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.