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Finding the Fourth Proportional to 313,658.44, 432,857.46 and 184,606

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Solution

The fourth proportional to 313,658.44, 432,857.46 and 184,606 is: 254,761.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,658.44 : 432,857.46 = 184,606 : x
  2. Step 2: Convert to fraction form
    313,658.44/432,857.46 = 184,606/x
  3. Step 3: Cross multiply
    313,658.44x = 432,857.46 × 184,606
  4. Step 4: Simplify right side
    313,658.44x = 79,908,084,260.76
  5. Step 5: Solve for x
    x = 79,908,084,260.76/313,658.44
  6. Step 6: Final answer
    x = 254,761.47

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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.