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Finding the Fourth Proportional to 298,522.25, 411,954.81 and 162,557.87

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Solution

The fourth proportional to 298,522.25, 411,954.81 and 162,557.87 is: 224,326.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,522.25 : 411,954.81 = 162,557.87 : x
  2. Step 2: Convert to fraction form
    298,522.25/411,954.81 = 162,557.87/x
  3. Step 3: Cross multiply
    298,522.25x = 411,954.81 × 162,557.87
  4. Step 4: Simplify right side
    298,522.25x = 66,966,496,449.85
  5. Step 5: Solve for x
    x = 66,966,496,449.85/298,522.25
  6. Step 6: Final answer
    x = 224,326.65

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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.