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Finding the Fourth Proportional to 399,609.48, 599,437.32 and 150,293.64

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Solution

The fourth proportional to 399,609.48, 599,437.32 and 150,293.64 is: 225,449.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,609.48 : 599,437.32 = 150,293.64 : x
  2. Step 2: Convert to fraction form
    399,609.48/599,437.32 = 150,293.64/x
  3. Step 3: Cross multiply
    399,609.48x = 599,437.32 × 150,293.64
  4. Step 4: Simplify right side
    399,609.48x = 90,091,616,774.64
  5. Step 5: Solve for x
    x = 90,091,616,774.64/399,609.48
  6. Step 6: Final answer
    x = 225,449.15

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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.