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Finding the Fourth Proportional to 821,348, 1,232,513.52 and 354,404

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Solution

The fourth proportional to 821,348, 1,232,513.52 and 354,404 is: 531,818.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,348 : 1,232,513.52 = 354,404 : x
  2. Step 2: Convert to fraction form
    821,348/1,232,513.52 = 354,404/x
  3. Step 3: Cross multiply
    821,348x = 1,232,513.52 × 354,404
  4. Step 4: Simplify right side
    821,348x = 436,807,721,542.08
  5. Step 5: Solve for x
    x = 436,807,721,542.08/821,348
  6. Step 6: Final answer
    x = 531,818.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.