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Finding the Fourth Proportional to 301,878.75, 416,583.89 and 172,812.87

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Solution

The fourth proportional to 301,878.75, 416,583.89 and 172,812.87 is: 238,476.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,878.75 : 416,583.89 = 172,812.87 : x
  2. Step 2: Convert to fraction form
    301,878.75/416,583.89 = 172,812.87/x
  3. Step 3: Cross multiply
    301,878.75x = 416,583.89 × 172,812.87
  4. Step 4: Simplify right side
    301,878.75x = 71,991,056,496.51
  5. Step 5: Solve for x
    x = 71,991,056,496.51/301,878.75
  6. Step 6: Final answer
    x = 238,476.73

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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.