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Finding the Fourth Proportional to 463,454.90, 695,247.15 and 197,213.30

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Solution

The fourth proportional to 463,454.90, 695,247.15 and 197,213.30 is: 295,847.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,454.90 : 695,247.15 = 197,213.30 : x
  2. Step 2: Convert to fraction form
    463,454.90/695,247.15 = 197,213.30/x
  3. Step 3: Cross multiply
    463,454.90x = 695,247.15 × 197,213.30
  4. Step 4: Simplify right side
    463,454.90x = 137,111,984,767.10
  5. Step 5: Solve for x
    x = 137,111,984,767.10/463,454.90
  6. Step 6: Final answer
    x = 295,847.52

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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.