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Finding the Fourth Proportional to 334,164.08, 460,942.16 and 198,106.88

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Solution

The fourth proportional to 334,164.08, 460,942.16 and 198,106.88 is: 273,266.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,164.08 : 460,942.16 = 198,106.88 : x
  2. Step 2: Convert to fraction form
    334,164.08/460,942.16 = 198,106.88/x
  3. Step 3: Cross multiply
    334,164.08x = 460,942.16 × 198,106.88
  4. Step 4: Simplify right side
    334,164.08x = 91,315,813,178.06
  5. Step 5: Solve for x
    x = 91,315,813,178.06/334,164.08
  6. Step 6: Final answer
    x = 273,266.39

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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.