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Finding the Fourth Proportional to 370,594.86, 511,420.88 and 200,828.99

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Solution

The fourth proportional to 370,594.86, 511,420.88 and 200,828.99 is: 277,143.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,594.86 : 511,420.88 = 200,828.99 : x
  2. Step 2: Convert to fraction form
    370,594.86/511,420.88 = 200,828.99/x
  3. Step 3: Cross multiply
    370,594.86x = 511,420.88 × 200,828.99
  4. Step 4: Simplify right side
    370,594.86x = 102,708,135,234.06
  5. Step 5: Solve for x
    x = 102,708,135,234.06/370,594.86
  6. Step 6: Final answer
    x = 277,143.98

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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.