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Finding the Fourth Proportional to 474,112.78, 711,114.36 and 119,099.78

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Solution

The fourth proportional to 474,112.78, 711,114.36 and 119,099.78 is: 178,635.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,112.78 : 711,114.36 = 119,099.78 : x
  2. Step 2: Convert to fraction form
    474,112.78/711,114.36 = 119,099.78/x
  3. Step 3: Cross multiply
    474,112.78x = 711,114.36 × 119,099.78
  4. Step 4: Simplify right side
    474,112.78x = 84,693,563,830.84
  5. Step 5: Solve for x
    x = 84,693,563,830.84/474,112.78
  6. Step 6: Final answer
    x = 178,635.90

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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.