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Finding the Fourth Proportional to 399,582.56, 599,461.44 and 150,264.48

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Solution

The fourth proportional to 399,582.56, 599,461.44 and 150,264.48 is: 225,429.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,582.56 : 599,461.44 = 150,264.48 : x
  2. Step 2: Convert to fraction form
    399,582.56/599,461.44 = 150,264.48/x
  3. Step 3: Cross multiply
    399,582.56x = 599,461.44 × 150,264.48
  4. Step 4: Simplify right side
    399,582.56x = 90,077,761,561.65
  5. Step 5: Solve for x
    x = 90,077,761,561.65/399,582.56
  6. Step 6: Final answer
    x = 225,429.66

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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.