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Finding the Fourth Proportional to 371,180.65, 512,230.70 and 201,414.77

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Solution

The fourth proportional to 371,180.65, 512,230.70 and 201,414.77 is: 277,953.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,180.65 : 512,230.70 = 201,414.77 : x
  2. Step 2: Convert to fraction form
    371,180.65/512,230.70 = 201,414.77/x
  3. Step 3: Cross multiply
    371,180.65x = 512,230.70 × 201,414.77
  4. Step 4: Simplify right side
    371,180.65x = 103,170,827,620.37
  5. Step 5: Solve for x
    x = 103,170,827,620.37/371,180.65
  6. Step 6: Final answer
    x = 277,953.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.