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Finding the Fourth Proportional to 371,200.44, 512,257.98 and 201,434.52

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Solution

The fourth proportional to 371,200.44, 512,257.98 and 201,434.52 is: 277,980.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,200.44 : 512,257.98 = 201,434.52 : x
  2. Step 2: Convert to fraction form
    371,200.44/512,257.98 = 201,434.52/x
  3. Step 3: Cross multiply
    371,200.44x = 512,257.98 × 201,434.52
  4. Step 4: Simplify right side
    371,200.44x = 103,186,440,317.47
  5. Step 5: Solve for x
    x = 103,186,440,317.47/371,200.44
  6. Step 6: Final answer
    x = 277,980.38

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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.