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Finding the Fourth Proportional to 306,722.60, 460,256.70 and 119,709.80

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Solution

The fourth proportional to 306,722.60, 460,256.70 and 119,709.80 is: 179,632.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,722.60 : 460,256.70 = 119,709.80 : x
  2. Step 2: Convert to fraction form
    306,722.60/460,256.70 = 119,709.80/x
  3. Step 3: Cross multiply
    306,722.60x = 460,256.70 × 119,709.80
  4. Step 4: Simplify right side
    306,722.60x = 55,097,237,505.66
  5. Step 5: Solve for x
    x = 55,097,237,505.66/306,722.60
  6. Step 6: Final answer
    x = 179,632.14

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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.