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Finding the Fourth Proportional to 293,972.64, 405,611.20 and 186,504

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Solution

The fourth proportional to 293,972.64, 405,611.20 and 186,504 is: 257,330.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,972.64 : 405,611.20 = 186,504 : x
  2. Step 2: Convert to fraction form
    293,972.64/405,611.20 = 186,504/x
  3. Step 3: Cross multiply
    293,972.64x = 405,611.20 × 186,504
  4. Step 4: Simplify right side
    293,972.64x = 75,648,111,244.80
  5. Step 5: Solve for x
    x = 75,648,111,244.80/293,972.64
  6. Step 6: Final answer
    x = 257,330.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.