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Finding the Fourth Proportional to 284,083.66, 425,719.50 and 208,611.82

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Solution

The fourth proportional to 284,083.66, 425,719.50 and 208,611.82 is: 312,619.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,083.66 : 425,719.50 = 208,611.82 : x
  2. Step 2: Convert to fraction form
    284,083.66/425,719.50 = 208,611.82/x
  3. Step 3: Cross multiply
    284,083.66x = 425,719.50 × 208,611.82
  4. Step 4: Simplify right side
    284,083.66x = 88,810,119,704.49
  5. Step 5: Solve for x
    x = 88,810,119,704.49/284,083.66
  6. Step 6: Final answer
    x = 312,619.60

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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.