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Finding the Fourth Proportional to 371,358, 512,474.94 and 201,592.08

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Solution

The fourth proportional to 371,358, 512,474.94 and 201,592.08 is: 278,197.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,358 : 512,474.94 = 201,592.08 : x
  2. Step 2: Convert to fraction form
    371,358/512,474.94 = 201,592.08/x
  3. Step 3: Cross multiply
    371,358x = 512,474.94 × 201,592.08
  4. Step 4: Simplify right side
    371,358x = 103,310,889,102.48
  5. Step 5: Solve for x
    x = 103,310,889,102.48/371,358
  6. Step 6: Final answer
    x = 278,197.56

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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.