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Finding the Fourth Proportional to 523,883.84, 722,729.76 and 354,056

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Solution

The fourth proportional to 523,883.84, 722,729.76 and 354,056 is: 488,441.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,883.84 : 722,729.76 = 354,056 : x
  2. Step 2: Convert to fraction form
    523,883.84/722,729.76 = 354,056/x
  3. Step 3: Cross multiply
    523,883.84x = 722,729.76 × 354,056
  4. Step 4: Simplify right side
    523,883.84x = 255,886,807,906.56
  5. Step 5: Solve for x
    x = 255,886,807,906.56/523,883.84
  6. Step 6: Final answer
    x = 488,441.88

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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.