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Finding the Fourth Proportional to 358,158.35, 494,294.76 and 205,216.83

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Solution

The fourth proportional to 358,158.35, 494,294.76 and 205,216.83 is: 283,219.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,158.35 : 494,294.76 = 205,216.83 : x
  2. Step 2: Convert to fraction form
    358,158.35/494,294.76 = 205,216.83/x
  3. Step 3: Cross multiply
    358,158.35x = 494,294.76 × 205,216.83
  4. Step 4: Simplify right side
    358,158.35x = 101,437,603,732.81
  5. Step 5: Solve for x
    x = 101,437,603,732.81/358,158.35
  6. Step 6: Final answer
    x = 283,219.99

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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.