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Finding the Fourth Proportional to 370,805.86, 511,712.68 and 201,040.42

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Solution

The fourth proportional to 370,805.86, 511,712.68 and 201,040.42 is: 277,436.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,805.86 : 511,712.68 = 201,040.42 : x
  2. Step 2: Convert to fraction form
    370,805.86/511,712.68 = 201,040.42/x
  3. Step 3: Cross multiply
    370,805.86x = 511,712.68 × 201,040.42
  4. Step 4: Simplify right side
    370,805.86x = 102,874,932,106.53
  5. Step 5: Solve for x
    x = 102,874,932,106.53/370,805.86
  6. Step 6: Final answer
    x = 277,436.10

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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.