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Finding the Fourth Proportional to 366,478.38, 505,705.92 and 205,299.24

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Solution

The fourth proportional to 366,478.38, 505,705.92 and 205,299.24 is: 283,293.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,478.38 : 505,705.92 = 205,299.24 : x
  2. Step 2: Convert to fraction form
    366,478.38/505,705.92 = 205,299.24/x
  3. Step 3: Cross multiply
    366,478.38x = 505,705.92 × 205,299.24
  4. Step 4: Simplify right side
    366,478.38x = 103,821,041,039.50
  5. Step 5: Solve for x
    x = 103,821,041,039.50/366,478.38
  6. Step 6: Final answer
    x = 283,293.77

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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.