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Finding the Fourth Proportional to 370,417.64, 511,176.44 and 200,651.80

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Solution

The fourth proportional to 370,417.64, 511,176.44 and 200,651.80 is: 276,899.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,417.64 : 511,176.44 = 200,651.80 : x
  2. Step 2: Convert to fraction form
    370,417.64/511,176.44 = 200,651.80/x
  3. Step 3: Cross multiply
    370,417.64x = 511,176.44 × 200,651.80
  4. Step 4: Simplify right side
    370,417.64x = 102,568,472,803.59
  5. Step 5: Solve for x
    x = 102,568,472,803.59/370,417.64
  6. Step 6: Final answer
    x = 276,899.54

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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.