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Finding the Fourth Proportional to 399,643.80, 599,174.10 and 162,864.60

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Solution

The fourth proportional to 399,643.80, 599,174.10 and 162,864.60 is: 244,178.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,643.80 : 599,174.10 = 162,864.60 : x
  2. Step 2: Convert to fraction form
    399,643.80/599,174.10 = 162,864.60/x
  3. Step 3: Cross multiply
    399,643.80x = 599,174.10 × 162,864.60
  4. Step 4: Simplify right side
    399,643.80x = 97,584,250,126.86
  5. Step 5: Solve for x
    x = 97,584,250,126.86/399,643.80
  6. Step 6: Final answer
    x = 244,178.07

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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.