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Finding the Fourth Proportional to 371,290.96, 512,381.94 and 201,525.04

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Solution

The fourth proportional to 371,290.96, 512,381.94 and 201,525.04 is: 278,104.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,290.96 : 512,381.94 = 201,525.04 : x
  2. Step 2: Convert to fraction form
    371,290.96/512,381.94 = 201,525.04/x
  3. Step 3: Cross multiply
    371,290.96x = 512,381.94 × 201,525.04
  4. Step 4: Simplify right side
    371,290.96x = 103,257,790,953.78
  5. Step 5: Solve for x
    x = 103,257,790,953.78/371,290.96
  6. Step 6: Final answer
    x = 278,104.78

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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.