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Finding the Fourth Proportional to 370,480.32, 511,263.69 and 200,714.43

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Solution

The fourth proportional to 370,480.32, 511,263.69 and 200,714.43 is: 276,986.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,480.32 : 511,263.69 = 200,714.43 : x
  2. Step 2: Convert to fraction form
    370,480.32/511,263.69 = 200,714.43/x
  3. Step 3: Cross multiply
    370,480.32x = 511,263.69 × 200,714.43
  4. Step 4: Simplify right side
    370,480.32x = 102,618,000,118.05
  5. Step 5: Solve for x
    x = 102,618,000,118.05/370,480.32
  6. Step 6: Final answer
    x = 276,986.37

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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.