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Finding the Fourth Proportional to 449,812.74, 674,708.37 and 146,206.53

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Solution

The fourth proportional to 449,812.74, 674,708.37 and 146,206.53 is: 219,306.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,812.74 : 674,708.37 = 146,206.53 : x
  2. Step 2: Convert to fraction form
    449,812.74/674,708.37 = 146,206.53/x
  3. Step 3: Cross multiply
    449,812.74x = 674,708.37 × 146,206.53
  4. Step 4: Simplify right side
    449,812.74x = 98,646,769,539.66
  5. Step 5: Solve for x
    x = 98,646,769,539.66/449,812.74
  6. Step 6: Final answer
    x = 219,306.30

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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.