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Finding the Fourth Proportional to 343,012.30, 514,518.69 and 143,223.82

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Solution

The fourth proportional to 343,012.30, 514,518.69 and 143,223.82 is: 214,835.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,012.30 : 514,518.69 = 143,223.82 : x
  2. Step 2: Convert to fraction form
    343,012.30/514,518.69 = 143,223.82/x
  3. Step 3: Cross multiply
    343,012.30x = 514,518.69 × 143,223.82
  4. Step 4: Simplify right side
    343,012.30x = 73,691,332,243.20
  5. Step 5: Solve for x
    x = 73,691,332,243.20/343,012.30
  6. Step 6: Final answer
    x = 214,835.83

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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.