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Finding the Fourth Proportional to 514,312.25, 771,591.50 and 214,626.09

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Solution

The fourth proportional to 514,312.25, 771,591.50 and 214,626.09 is: 321,990.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,312.25 : 771,591.50 = 214,626.09 : x
  2. Step 2: Convert to fraction form
    514,312.25/771,591.50 = 214,626.09/x
  3. Step 3: Cross multiply
    514,312.25x = 771,591.50 × 214,626.09
  4. Step 4: Simplify right side
    514,312.25x = 165,603,665,649.11
  5. Step 5: Solve for x
    x = 165,603,665,649.11/514,312.25
  6. Step 6: Final answer
    x = 321,990.52

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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.