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Finding the Fourth Proportional to 298,527.25, 411,961.71 and 162,562.81

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Solution

The fourth proportional to 298,527.25, 411,961.71 and 162,562.81 is: 224,333.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,527.25 : 411,961.71 = 162,562.81 : x
  2. Step 2: Convert to fraction form
    298,527.25/411,961.71 = 162,562.81/x
  3. Step 3: Cross multiply
    298,527.25x = 411,961.71 × 162,562.81
  4. Step 4: Simplify right side
    298,527.25x = 66,969,653,190.01
  5. Step 5: Solve for x
    x = 66,969,653,190.01/298,527.25
  6. Step 6: Final answer
    x = 224,333.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.