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Finding the Fourth Proportional to 414,191.82, 620,377.05 and 342,299.70

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Solution

The fourth proportional to 414,191.82, 620,377.05 and 342,299.70 is: 512,696.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,191.82 : 620,377.05 = 342,299.70 : x
  2. Step 2: Convert to fraction form
    414,191.82/620,377.05 = 342,299.70/x
  3. Step 3: Cross multiply
    414,191.82x = 620,377.05 × 342,299.70
  4. Step 4: Simplify right side
    414,191.82x = 212,354,878,101.89
  5. Step 5: Solve for x
    x = 212,354,878,101.89/414,191.82
  6. Step 6: Final answer
    x = 512,696.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.