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Finding the Fourth Proportional to 294,590.71, 406,690.53 and 198,300.82

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Solution

The fourth proportional to 294,590.71, 406,690.53 and 198,300.82 is: 273,759.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,590.71 : 406,690.53 = 198,300.82 : x
  2. Step 2: Convert to fraction form
    294,590.71/406,690.53 = 198,300.82/x
  3. Step 3: Cross multiply
    294,590.71x = 406,690.53 × 198,300.82
  4. Step 4: Simplify right side
    294,590.71x = 80,647,065,702.87
  5. Step 5: Solve for x
    x = 80,647,065,702.87/294,590.71
  6. Step 6: Final answer
    x = 273,759.70

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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.