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Finding the Fourth Proportional to 373,646.16, 560,768.13 and 196,257.78

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Solution

The fourth proportional to 373,646.16, 560,768.13 and 196,257.78 is: 294,543.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,646.16 : 560,768.13 = 196,257.78 : x
  2. Step 2: Convert to fraction form
    373,646.16/560,768.13 = 196,257.78/x
  3. Step 3: Cross multiply
    373,646.16x = 560,768.13 × 196,257.78
  4. Step 4: Simplify right side
    373,646.16x = 110,055,108,288.55
  5. Step 5: Solve for x
    x = 110,055,108,288.55/373,646.16
  6. Step 6: Final answer
    x = 294,543.66

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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.