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Finding the Fourth Proportional to 294,843.70, 406,562.79 and 199,184.32

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Solution

The fourth proportional to 294,843.70, 406,562.79 and 199,184.32 is: 274,657.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,843.70 : 406,562.79 = 199,184.32 : x
  2. Step 2: Convert to fraction form
    294,843.70/406,562.79 = 199,184.32/x
  3. Step 3: Cross multiply
    294,843.70x = 406,562.79 × 199,184.32
  4. Step 4: Simplify right side
    294,843.70x = 80,980,932,863.45
  5. Step 5: Solve for x
    x = 80,980,932,863.45/294,843.70
  6. Step 6: Final answer
    x = 274,657.16

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1.5x scale

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.