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Finding the Fourth Proportional to 399,567.36, 599,152.86 and 146,837.64

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Solution

The fourth proportional to 399,567.36, 599,152.86 and 146,837.64 is: 220,183.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,567.36 : 599,152.86 = 146,837.64 : x
  2. Step 2: Convert to fraction form
    399,567.36/599,152.86 = 146,837.64/x
  3. Step 3: Cross multiply
    399,567.36x = 599,152.86 × 146,837.64
  4. Step 4: Simplify right side
    399,567.36x = 87,978,191,961.65
  5. Step 5: Solve for x
    x = 87,978,191,961.65/399,567.36
  6. Step 6: Final answer
    x = 220,183.63

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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.