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Finding the Fourth Proportional to 374,722.06, 517,128.80 and 204,956.17

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Solution

The fourth proportional to 374,722.06, 517,128.80 and 204,956.17 is: 282,846.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,722.06 : 517,128.80 = 204,956.17 : x
  2. Step 2: Convert to fraction form
    374,722.06/517,128.80 = 204,956.17/x
  3. Step 3: Cross multiply
    374,722.06x = 517,128.80 × 204,956.17
  4. Step 4: Simplify right side
    374,722.06x = 105,988,738,244.70
  5. Step 5: Solve for x
    x = 105,988,738,244.70/374,722.06
  6. Step 6: Final answer
    x = 282,846.27

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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.