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Finding the Fourth Proportional to 474,392.64, 711,822.60 and 221,690.52

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Solution

The fourth proportional to 474,392.64, 711,822.60 and 221,690.52 is: 332,644.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,392.64 : 711,822.60 = 221,690.52 : x
  2. Step 2: Convert to fraction form
    474,392.64/711,822.60 = 221,690.52/x
  3. Step 3: Cross multiply
    474,392.64x = 711,822.60 × 221,690.52
  4. Step 4: Simplify right side
    474,392.64x = 157,804,322,341.75
  5. Step 5: Solve for x
    x = 157,804,322,341.75/474,392.64
  6. Step 6: Final answer
    x = 332,644.96

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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.