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Finding the Fourth Proportional to 442,882.10, 664,323.15 and 307,069.40

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Solution

The fourth proportional to 442,882.10, 664,323.15 and 307,069.40 is: 460,604.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,882.10 : 664,323.15 = 307,069.40 : x
  2. Step 2: Convert to fraction form
    442,882.10/664,323.15 = 307,069.40/x
  3. Step 3: Cross multiply
    442,882.10x = 664,323.15 × 307,069.40
  4. Step 4: Simplify right side
    442,882.10x = 203,993,311,076.61
  5. Step 5: Solve for x
    x = 203,993,311,076.61/442,882.10
  6. Step 6: Final answer
    x = 460,604.10

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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.