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Finding the Fourth Proportional to 242,574.30, 364,517.55 and 213,705.90

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Solution

The fourth proportional to 242,574.30, 364,517.55 and 213,705.90 is: 321,136.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,574.30 : 364,517.55 = 213,705.90 : x
  2. Step 2: Convert to fraction form
    242,574.30/364,517.55 = 213,705.90/x
  3. Step 3: Cross multiply
    242,574.30x = 364,517.55 × 213,705.90
  4. Step 4: Simplify right side
    242,574.30x = 77,899,551,088.55
  5. Step 5: Solve for x
    x = 77,899,551,088.55/242,574.30
  6. Step 6: Final answer
    x = 321,136.87

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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.