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Finding the Fourth Proportional to 370,542.79, 511,349.93 and 200,776.92

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Solution

The fourth proportional to 370,542.79, 511,349.93 and 200,776.92 is: 277,072.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,542.79 : 511,349.93 = 200,776.92 : x
  2. Step 2: Convert to fraction form
    370,542.79/511,349.93 = 200,776.92/x
  3. Step 3: Cross multiply
    370,542.79x = 511,349.93 × 200,776.92
  4. Step 4: Simplify right side
    370,542.79x = 102,667,263,987.62
  5. Step 5: Solve for x
    x = 102,667,263,987.62/370,542.79
  6. Step 6: Final answer
    x = 277,072.63

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1.5x scale

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.