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Finding the Fourth Proportional to 294,572.16, 406,380.24 and 199,044

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Solution

The fourth proportional to 294,572.16, 406,380.24 and 199,044 is: 274,593.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,572.16 : 406,380.24 = 199,044 : x
  2. Step 2: Convert to fraction form
    294,572.16/406,380.24 = 199,044/x
  3. Step 3: Cross multiply
    294,572.16x = 406,380.24 × 199,044
  4. Step 4: Simplify right side
    294,572.16x = 80,887,548,490.56
  5. Step 5: Solve for x
    x = 80,887,548,490.56/294,572.16
  6. Step 6: Final answer
    x = 274,593.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.