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Finding the Fourth Proportional to 311,418.11, 429,757.01 and 168,178.16

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Solution

The fourth proportional to 311,418.11, 429,757.01 and 168,178.16 is: 232,085.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,418.11 : 429,757.01 = 168,178.16 : x
  2. Step 2: Convert to fraction form
    311,418.11/429,757.01 = 168,178.16/x
  3. Step 3: Cross multiply
    311,418.11x = 429,757.01 × 168,178.16
  4. Step 4: Simplify right side
    311,418.11x = 72,275,740,199.23
  5. Step 5: Solve for x
    x = 72,275,740,199.23/311,418.11
  6. Step 6: Final answer
    x = 232,085.86

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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.