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Finding the Fourth Proportional to 474,367.48, 711,784.94 and 221,665.43

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Solution

The fourth proportional to 474,367.48, 711,784.94 and 221,665.43 is: 332,607.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,367.48 : 711,784.94 = 221,665.43 : x
  2. Step 2: Convert to fraction form
    474,367.48/711,784.94 = 221,665.43/x
  3. Step 3: Cross multiply
    474,367.48x = 711,784.94 × 221,665.43
  4. Step 4: Simplify right side
    474,367.48x = 157,778,115,463.76
  5. Step 5: Solve for x
    x = 157,778,115,463.76/474,367.48
  6. Step 6: Final answer
    x = 332,607.36

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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.