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Finding the Fourth Proportional to 341,416.34, 471,084.24 and 196,194.08

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Solution

The fourth proportional to 341,416.34, 471,084.24 and 196,194.08 is: 270,707.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,416.34 : 471,084.24 = 196,194.08 : x
  2. Step 2: Convert to fraction form
    341,416.34/471,084.24 = 196,194.08/x
  3. Step 3: Cross multiply
    341,416.34x = 471,084.24 × 196,194.08
  4. Step 4: Simplify right side
    341,416.34x = 92,423,939,069.30
  5. Step 5: Solve for x
    x = 92,423,939,069.30/341,416.34
  6. Step 6: Final answer
    x = 270,707.43

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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.