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Finding the Fourth Proportional to 632,105.62, 947,715.42 and 232,694.34

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Solution

The fourth proportional to 632,105.62, 947,715.42 and 232,694.34 is: 348,878.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,105.62 : 947,715.42 = 232,694.34 : x
  2. Step 2: Convert to fraction form
    632,105.62/947,715.42 = 232,694.34/x
  3. Step 3: Cross multiply
    632,105.62x = 947,715.42 × 232,694.34
  4. Step 4: Simplify right side
    632,105.62x = 220,528,014,164.72
  5. Step 5: Solve for x
    x = 220,528,014,164.72/632,105.62
  6. Step 6: Final answer
    x = 348,878.43

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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.