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Finding the Fourth Proportional to 370,548.67, 511,358.96 and 200,782.75

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Solution

The fourth proportional to 370,548.67, 511,358.96 and 200,782.75 is: 277,081.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,548.67 : 511,358.96 = 200,782.75 : x
  2. Step 2: Convert to fraction form
    370,548.67/511,358.96 = 200,782.75/x
  3. Step 3: Cross multiply
    370,548.67x = 511,358.96 × 200,782.75
  4. Step 4: Simplify right side
    370,548.67x = 102,672,057,222.03
  5. Step 5: Solve for x
    x = 102,672,057,222.03/370,548.67
  6. Step 6: Final answer
    x = 277,081.17

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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.