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Finding the Fourth Proportional to 370,646.56, 511,494.78 and 200,883.52

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Solution

The fourth proportional to 370,646.56, 511,494.78 and 200,883.52 is: 277,220.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,646.56 : 511,494.78 = 200,883.52 : x
  2. Step 2: Convert to fraction form
    370,646.56/511,494.78 = 200,883.52/x
  3. Step 3: Cross multiply
    370,646.56x = 511,494.78 × 200,883.52
  4. Step 4: Simplify right side
    370,646.56x = 102,750,871,868.03
  5. Step 5: Solve for x
    x = 102,750,871,868.03/370,646.56
  6. Step 6: Final answer
    x = 277,220.63

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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.