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Finding the Fourth Proportional to 465,728.14, 698,571.24 and 162,336.24

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Solution

The fourth proportional to 465,728.14, 698,571.24 and 162,336.24 is: 243,497.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,728.14 : 698,571.24 = 162,336.24 : x
  2. Step 2: Convert to fraction form
    465,728.14/698,571.24 = 162,336.24/x
  3. Step 3: Cross multiply
    465,728.14x = 698,571.24 × 162,336.24
  4. Step 4: Simplify right side
    465,728.14x = 113,403,428,473.74
  5. Step 5: Solve for x
    x = 113,403,428,473.74/465,728.14
  6. Step 6: Final answer
    x = 243,497.05

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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.