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Finding the Fourth Proportional to 306,859.40, 460,334.46 and 157,184.36

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Solution

The fourth proportional to 306,859.40, 460,334.46 and 157,184.36 is: 235,799.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,859.40 : 460,334.46 = 157,184.36 : x
  2. Step 2: Convert to fraction form
    306,859.40/460,334.46 = 157,184.36/x
  3. Step 3: Cross multiply
    306,859.40x = 460,334.46 × 157,184.36
  4. Step 4: Simplify right side
    306,859.40x = 72,357,377,481.05
  5. Step 5: Solve for x
    x = 72,357,377,481.05/306,859.40
  6. Step 6: Final answer
    x = 235,799.78

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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.