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Finding the Fourth Proportional to 348,906.50, 523,565.42 and 146,538.11

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Solution

The fourth proportional to 348,906.50, 523,565.42 and 146,538.11 is: 219,893.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,906.50 : 523,565.42 = 146,538.11 : x
  2. Step 2: Convert to fraction form
    348,906.50/523,565.42 = 146,538.11/x
  3. Step 3: Cross multiply
    348,906.50x = 523,565.42 × 146,538.11
  4. Step 4: Simplify right side
    348,906.50x = 76,722,287,108.16
  5. Step 5: Solve for x
    x = 76,722,287,108.16/348,906.50
  6. Step 6: Final answer
    x = 219,893.54

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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.