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Finding the Fourth Proportional to 297,186, 409,808.41 and 254,307.43

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Solution

The fourth proportional to 297,186, 409,808.41 and 254,307.43 is: 350,680.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,186 : 409,808.41 = 254,307.43 : x
  2. Step 2: Convert to fraction form
    297,186/409,808.41 = 254,307.43/x
  3. Step 3: Cross multiply
    297,186x = 409,808.41 × 254,307.43
  4. Step 4: Simplify right side
    297,186x = 104,217,323,539.49
  5. Step 5: Solve for x
    x = 104,217,323,539.49/297,186
  6. Step 6: Final answer
    x = 350,680.46

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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.