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Finding the Fourth Proportional to 399,347.98, 599,311.00 and 156,224.91

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Solution

The fourth proportional to 399,347.98, 599,311.00 and 156,224.91 is: 234,450.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,347.98 : 599,311.00 = 156,224.91 : x
  2. Step 2: Convert to fraction form
    399,347.98/599,311.00 = 156,224.91/x
  3. Step 3: Cross multiply
    399,347.98x = 599,311.00 × 156,224.91
  4. Step 4: Simplify right side
    399,347.98x = 93,627,309,479.71
  5. Step 5: Solve for x
    x = 93,627,309,479.71/399,347.98
  6. Step 6: Final answer
    x = 234,450.44

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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.