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Finding the Fourth Proportional to 371,192.84, 512,255.36 and 201,426.56

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Solution

The fourth proportional to 371,192.84, 512,255.36 and 201,426.56 is: 277,973.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,192.84 : 512,255.36 = 201,426.56 : x
  2. Step 2: Convert to fraction form
    371,192.84/512,255.36 = 201,426.56/x
  3. Step 3: Cross multiply
    371,192.84x = 512,255.36 × 201,426.56
  4. Step 4: Simplify right side
    371,192.84x = 103,181,835,006.36
  5. Step 5: Solve for x
    x = 103,181,835,006.36/371,192.84
  6. Step 6: Final answer
    x = 277,973.67

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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.