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Finding the Fourth Proportional to 370,706.79, 511,561.65 and 200,937.27

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Solution

The fourth proportional to 370,706.79, 511,561.65 and 200,937.27 is: 277,286.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,706.79 : 511,561.65 = 200,937.27 : x
  2. Step 2: Convert to fraction form
    370,706.79/511,561.65 = 200,937.27/x
  3. Step 3: Cross multiply
    370,706.79x = 511,561.65 × 200,937.27
  4. Step 4: Simplify right side
    370,706.79x = 102,791,801,387.70
  5. Step 5: Solve for x
    x = 102,791,801,387.70/370,706.79
  6. Step 6: Final answer
    x = 277,286.00

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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.