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Finding the Fourth Proportional to 298,244.16, 411,564.56 and 162,278.64

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Solution

The fourth proportional to 298,244.16, 411,564.56 and 162,278.64 is: 223,937.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,244.16 : 411,564.56 = 162,278.64 : x
  2. Step 2: Convert to fraction form
    298,244.16/411,564.56 = 162,278.64/x
  3. Step 3: Cross multiply
    298,244.16x = 411,564.56 × 162,278.64
  4. Step 4: Simplify right side
    298,244.16x = 66,788,136,257.61
  5. Step 5: Solve for x
    x = 66,788,136,257.61/298,244.16
  6. Step 6: Final answer
    x = 223,937.78

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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.