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Finding the Fourth Proportional to 294,863.48, 406,590.02 and 199,204.08

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Solution

The fourth proportional to 294,863.48, 406,590.02 and 199,204.08 is: 274,684.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,863.48 : 406,590.02 = 199,204.08 : x
  2. Step 2: Convert to fraction form
    294,863.48/406,590.02 = 199,204.08/x
  3. Step 3: Cross multiply
    294,863.48x = 406,590.02 × 199,204.08
  4. Step 4: Simplify right side
    294,863.48x = 80,994,390,871.28
  5. Step 5: Solve for x
    x = 80,994,390,871.28/294,863.48
  6. Step 6: Final answer
    x = 274,684.38

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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.