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Finding the Fourth Proportional to 488,340, 735,837.54 and 401,538

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Solution

The fourth proportional to 488,340, 735,837.54 and 401,538 is: 605,043.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,340 : 735,837.54 = 401,538 : x
  2. Step 2: Convert to fraction form
    488,340/735,837.54 = 401,538/x
  3. Step 3: Cross multiply
    488,340x = 735,837.54 × 401,538
  4. Step 4: Simplify right side
    488,340x = 295,466,734,136.52
  5. Step 5: Solve for x
    x = 295,466,734,136.52/488,340
  6. Step 6: Final answer
    x = 605,043.07

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.