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Finding the Fourth Proportional to 301,876.39, 416,435.90 and 230,131.86

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Solution

The fourth proportional to 301,876.39, 416,435.90 and 230,131.86 is: 317,464.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,876.39 : 416,435.90 = 230,131.86 : x
  2. Step 2: Convert to fraction form
    301,876.39/416,435.90 = 230,131.86/x
  3. Step 3: Cross multiply
    301,876.39x = 416,435.90 × 230,131.86
  4. Step 4: Simplify right side
    301,876.39x = 95,835,167,020.33
  5. Step 5: Solve for x
    x = 95,835,167,020.33/301,876.39
  6. Step 6: Final answer
    x = 317,464.93

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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.