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Finding the Fourth Proportional to 762,274.92, 1,051,912.90 and 422,774.76

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Solution

The fourth proportional to 762,274.92, 1,051,912.90 and 422,774.76 is: 583,414.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,274.92 : 1,051,912.90 = 422,774.76 : x
  2. Step 2: Convert to fraction form
    762,274.92/1,051,912.90 = 422,774.76/x
  3. Step 3: Cross multiply
    762,274.92x = 1,051,912.90 × 422,774.76
  4. Step 4: Simplify right side
    762,274.92x = 444,722,223,838.40
  5. Step 5: Solve for x
    x = 444,722,223,838.40/762,274.92
  6. Step 6: Final answer
    x = 583,414.48

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