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Finding the Fourth Proportional to 370,907.96, 511,853.26 and 201,142.04

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Solution

The fourth proportional to 370,907.96, 511,853.26 and 201,142.04 is: 277,576.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,907.96 : 511,853.26 = 201,142.04 : x
  2. Step 2: Convert to fraction form
    370,907.96/511,853.26 = 201,142.04/x
  3. Step 3: Cross multiply
    370,907.96x = 511,853.26 × 201,142.04
  4. Step 4: Simplify right side
    370,907.96x = 102,955,208,897.05
  5. Step 5: Solve for x
    x = 102,955,208,897.05/370,907.96
  6. Step 6: Final answer
    x = 277,576.16

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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.