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Finding the Fourth Proportional to 299,264.20, 412,696.54 and 201,368.04

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Solution

The fourth proportional to 299,264.20, 412,696.54 and 201,368.04 is: 277,694.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,264.20 : 412,696.54 = 201,368.04 : x
  2. Step 2: Convert to fraction form
    299,264.20/412,696.54 = 201,368.04/x
  3. Step 3: Cross multiply
    299,264.20x = 412,696.54 × 201,368.04
  4. Step 4: Simplify right side
    299,264.20x = 83,103,893,374.58
  5. Step 5: Solve for x
    x = 83,103,893,374.58/299,264.20
  6. Step 6: Final answer
    x = 277,694.07

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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.