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Finding the Fourth Proportional to 429,396.64, 591,592.52 and 332,266.48

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Solution

The fourth proportional to 429,396.64, 591,592.52 and 332,266.48 is: 457,773.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,396.64 : 591,592.52 = 332,266.48 : x
  2. Step 2: Convert to fraction form
    429,396.64/591,592.52 = 332,266.48/x
  3. Step 3: Cross multiply
    429,396.64x = 591,592.52 × 332,266.48
  4. Step 4: Simplify right side
    429,396.64x = 196,566,364,214.73
  5. Step 5: Solve for x
    x = 196,566,364,214.73/429,396.64
  6. Step 6: Final answer
    x = 457,773.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.