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Finding the Fourth Proportional to 370,292.88, 511,003.16 and 200,526.96

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Solution

The fourth proportional to 370,292.88, 511,003.16 and 200,526.96 is: 276,726.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,292.88 : 511,003.16 = 200,526.96 : x
  2. Step 2: Convert to fraction form
    370,292.88/511,003.16 = 200,526.96/x
  3. Step 3: Cross multiply
    370,292.88x = 511,003.16 × 200,526.96
  4. Step 4: Simplify right side
    370,292.88x = 102,469,910,225.19
  5. Step 5: Solve for x
    x = 102,469,910,225.19/370,292.88
  6. Step 6: Final answer
    x = 276,726.66

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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.