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Finding the Fourth Proportional to 370,480.64, 511,265.74 and 200,714.77

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Solution

The fourth proportional to 370,480.64, 511,265.74 and 200,714.77 is: 276,987.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,480.64 : 511,265.74 = 200,714.77 : x
  2. Step 2: Convert to fraction form
    370,480.64/511,265.74 = 200,714.77/x
  3. Step 3: Cross multiply
    370,480.64x = 511,265.74 × 200,714.77
  4. Step 4: Simplify right side
    370,480.64x = 102,618,582,856.65
  5. Step 5: Solve for x
    x = 102,618,582,856.65/370,480.64
  6. Step 6: Final answer
    x = 276,987.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.