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Finding the Fourth Proportional to 293,957.51, 440,936.46 and 194,094.23

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Solution

The fourth proportional to 293,957.51, 440,936.46 and 194,094.23 is: 291,141.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,957.51 : 440,936.46 = 194,094.23 : x
  2. Step 2: Convert to fraction form
    293,957.51/440,936.46 = 194,094.23/x
  3. Step 3: Cross multiply
    293,957.51x = 440,936.46 × 194,094.23
  4. Step 4: Simplify right side
    293,957.51x = 85,583,220,477.94
  5. Step 5: Solve for x
    x = 85,583,220,477.94/293,957.51
  6. Step 6: Final answer
    x = 291,141.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.