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Finding the Fourth Proportional to 370,526.66, 511,327.13 and 200,760.78

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Solution

The fourth proportional to 370,526.66, 511,327.13 and 200,760.78 is: 277,050.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,526.66 : 511,327.13 = 200,760.78 : x
  2. Step 2: Convert to fraction form
    370,526.66/511,327.13 = 200,760.78/x
  3. Step 3: Cross multiply
    370,526.66x = 511,327.13 × 200,760.78
  4. Step 4: Simplify right side
    370,526.66x = 102,654,433,453.96
  5. Step 5: Solve for x
    x = 102,654,433,453.96/370,526.66
  6. Step 6: Final answer
    x = 277,050.06

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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.