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Finding the Fourth Proportional to 533,205.41, 735,824.09 and 306,851.09

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Solution

The fourth proportional to 533,205.41, 735,824.09 and 306,851.09 is: 423,454.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,205.41 : 735,824.09 = 306,851.09 : x
  2. Step 2: Convert to fraction form
    533,205.41/735,824.09 = 306,851.09/x
  3. Step 3: Cross multiply
    533,205.41x = 735,824.09 × 306,851.09
  4. Step 4: Simplify right side
    533,205.41x = 225,788,424,064.76
  5. Step 5: Solve for x
    x = 225,788,424,064.76/533,205.41
  6. Step 6: Final answer
    x = 423,454.86

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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.