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Finding the Fourth Proportional to 284,768.60, 427,191.30 and 97,837.40

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Solution

The fourth proportional to 284,768.60, 427,191.30 and 97,837.40 is: 146,769.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,768.60 : 427,191.30 = 97,837.40 : x
  2. Step 2: Convert to fraction form
    284,768.60/427,191.30 = 97,837.40/x
  3. Step 3: Cross multiply
    284,768.60x = 427,191.30 × 97,837.40
  4. Step 4: Simplify right side
    284,768.60x = 41,795,286,094.62
  5. Step 5: Solve for x
    x = 41,795,286,094.62/284,768.60
  6. Step 6: Final answer
    x = 146,769.29

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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.