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Finding the Fourth Proportional to 371,086.50, 512,100.36 and 201,320.63

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Solution

The fourth proportional to 371,086.50, 512,100.36 and 201,320.63 is: 277,823.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,086.50 : 512,100.36 = 201,320.63 : x
  2. Step 2: Convert to fraction form
    371,086.50/512,100.36 = 201,320.63/x
  3. Step 3: Cross multiply
    371,086.50x = 512,100.36 × 201,320.63
  4. Step 4: Simplify right side
    371,086.50x = 103,096,364,537.93
  5. Step 5: Solve for x
    x = 103,096,364,537.93/371,086.50
  6. Step 6: Final answer
    x = 277,823.00

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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.