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Finding the Fourth Proportional to 298,522.14, 411,970.74 and 162,558.42

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Solution

The fourth proportional to 298,522.14, 411,970.74 and 162,558.42 is: 224,336.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,522.14 : 411,970.74 = 162,558.42 : x
  2. Step 2: Convert to fraction form
    298,522.14/411,970.74 = 162,558.42/x
  3. Step 3: Cross multiply
    298,522.14x = 411,970.74 × 162,558.42
  4. Step 4: Simplify right side
    298,522.14x = 66,969,312,580.63
  5. Step 5: Solve for x
    x = 66,969,312,580.63/298,522.14
  6. Step 6: Final answer
    x = 224,336.17

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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.