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Finding the Fourth Proportional to 301,926.83, 416,751.86 and 194,496.53

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Solution

The fourth proportional to 301,926.83, 416,751.86 and 194,496.53 is: 268,465.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,926.83 : 416,751.86 = 194,496.53 : x
  2. Step 2: Convert to fraction form
    301,926.83/416,751.86 = 194,496.53/x
  3. Step 3: Cross multiply
    301,926.83x = 416,751.86 × 194,496.53
  4. Step 4: Simplify right side
    301,926.83x = 81,056,790,641.05
  5. Step 5: Solve for x
    x = 81,056,790,641.05/301,926.83
  6. Step 6: Final answer
    x = 268,465.01

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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.