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Finding the Fourth Proportional to 294,017.89, 405,868.89 and 198,653.80

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Solution

The fourth proportional to 294,017.89, 405,868.89 and 198,653.80 is: 274,226.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,017.89 : 405,868.89 = 198,653.80 : x
  2. Step 2: Convert to fraction form
    294,017.89/405,868.89 = 198,653.80/x
  3. Step 3: Cross multiply
    294,017.89x = 405,868.89 × 198,653.80
  4. Step 4: Simplify right side
    294,017.89x = 80,627,397,300.28
  5. Step 5: Solve for x
    x = 80,627,397,300.28/294,017.89
  6. Step 6: Final answer
    x = 274,226.16

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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.