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Finding the Fourth Proportional to 370,595.86, 511,422.25 and 200,829.99

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Solution

The fourth proportional to 370,595.86, 511,422.25 and 200,829.99 is: 277,145.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,595.86 : 511,422.25 = 200,829.99 : x
  2. Step 2: Convert to fraction form
    370,595.86/511,422.25 = 200,829.99/x
  3. Step 3: Cross multiply
    370,595.86x = 511,422.25 × 200,829.99
  4. Step 4: Simplify right side
    370,595.86x = 102,708,925,353.28
  5. Step 5: Solve for x
    x = 102,708,925,353.28/370,595.86
  6. Step 6: Final answer
    x = 277,145.37

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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.