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Finding the Fourth Proportional to 399,222.20, 599,063.70 and 149,929.40

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Solution

The fourth proportional to 399,222.20, 599,063.70 and 149,929.40 is: 224,980.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,222.20 : 599,063.70 = 149,929.40 : x
  2. Step 2: Convert to fraction form
    399,222.20/599,063.70 = 149,929.40/x
  3. Step 3: Cross multiply
    399,222.20x = 599,063.70 × 149,929.40
  4. Step 4: Simplify right side
    399,222.20x = 89,817,261,102.78
  5. Step 5: Solve for x
    x = 89,817,261,102.78/399,222.20
  6. Step 6: Final answer
    x = 224,980.63

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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.