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Finding the Fourth Proportional to 264,626.20, 395,967.30 and 194,642.20

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Solution

The fourth proportional to 264,626.20, 395,967.30 and 194,642.20 is: 291,248.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,626.20 : 395,967.30 = 194,642.20 : x
  2. Step 2: Convert to fraction form
    264,626.20/395,967.30 = 194,642.20/x
  3. Step 3: Cross multiply
    264,626.20x = 395,967.30 × 194,642.20
  4. Step 4: Simplify right side
    264,626.20x = 77,071,946,400.06
  5. Step 5: Solve for x
    x = 77,071,946,400.06/264,626.20
  6. Step 6: Final answer
    x = 291,248.36

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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.