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Finding the Fourth Proportional to 381,853.28, 569,988.38 and 354,099.44

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Solution

The fourth proportional to 381,853.28, 569,988.38 and 354,099.44 is: 528,560.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,853.28 : 569,988.38 = 354,099.44 : x
  2. Step 2: Convert to fraction form
    381,853.28/569,988.38 = 354,099.44/x
  3. Step 3: Cross multiply
    381,853.28x = 569,988.38 × 354,099.44
  4. Step 4: Simplify right side
    381,853.28x = 201,832,566,164.51
  5. Step 5: Solve for x
    x = 201,832,566,164.51/381,853.28
  6. Step 6: Final answer
    x = 528,560.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.