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Finding the Fourth Proportional to 301,946.94, 416,302.47 and 188,728.38

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Solution

The fourth proportional to 301,946.94, 416,302.47 and 188,728.38 is: 260,204.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,946.94 : 416,302.47 = 188,728.38 : x
  2. Step 2: Convert to fraction form
    301,946.94/416,302.47 = 188,728.38/x
  3. Step 3: Cross multiply
    301,946.94x = 416,302.47 × 188,728.38
  4. Step 4: Simplify right side
    301,946.94x = 78,568,090,753.10
  5. Step 5: Solve for x
    x = 78,568,090,753.10/301,946.94
  6. Step 6: Final answer
    x = 260,204.96

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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.