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Finding the Fourth Proportional to 295,949.24, 408,403.80 and 161,813.24

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Solution

The fourth proportional to 295,949.24, 408,403.80 and 161,813.24 is: 223,298.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,949.24 : 408,403.80 = 161,813.24 : x
  2. Step 2: Convert to fraction form
    295,949.24/408,403.80 = 161,813.24/x
  3. Step 3: Cross multiply
    295,949.24x = 408,403.80 × 161,813.24
  4. Step 4: Simplify right side
    295,949.24x = 66,085,142,106.31
  5. Step 5: Solve for x
    x = 66,085,142,106.31/295,949.24
  6. Step 6: Final answer
    x = 223,298.91

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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.