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Finding the Fourth Proportional to 442,881.80, 664,322.70 and 309,912.20

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Solution

The fourth proportional to 442,881.80, 664,322.70 and 309,912.20 is: 464,868.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,881.80 : 664,322.70 = 309,912.20 : x
  2. Step 2: Convert to fraction form
    442,881.80/664,322.70 = 309,912.20/x
  3. Step 3: Cross multiply
    442,881.80x = 664,322.70 × 309,912.20
  4. Step 4: Simplify right side
    442,881.80x = 205,881,709,466.94
  5. Step 5: Solve for x
    x = 205,881,709,466.94/442,881.80
  6. Step 6: Final answer
    x = 464,868.30

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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.