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Finding the Fourth Proportional to 442,862.10, 664,293.15 and 395,622.90

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Solution

The fourth proportional to 442,862.10, 664,293.15 and 395,622.90 is: 593,434.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,862.10 : 664,293.15 = 395,622.90 : x
  2. Step 2: Convert to fraction form
    442,862.10/664,293.15 = 395,622.90/x
  3. Step 3: Cross multiply
    442,862.10x = 664,293.15 × 395,622.90
  4. Step 4: Simplify right side
    442,862.10x = 262,809,582,453.14
  5. Step 5: Solve for x
    x = 262,809,582,453.14/442,862.10
  6. Step 6: Final answer
    x = 593,434.35

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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.