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Finding the Fourth Proportional to 813,662.93, 1,220,576.42 and 214,665.50

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Solution

The fourth proportional to 813,662.93, 1,220,576.42 and 214,665.50 is: 322,019.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,662.93 : 1,220,576.42 = 214,665.50 : x
  2. Step 2: Convert to fraction form
    813,662.93/1,220,576.42 = 214,665.50/x
  3. Step 3: Cross multiply
    813,662.93x = 1,220,576.42 × 214,665.50
  4. Step 4: Simplify right side
    813,662.93x = 262,015,651,075.62
  5. Step 5: Solve for x
    x = 262,015,651,075.62/813,662.93
  6. Step 6: Final answer
    x = 322,019.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.