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Finding the Fourth Proportional to 410,578.56, 566,291.52 and 276,416.64

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Solution

The fourth proportional to 410,578.56, 566,291.52 and 276,416.64 is: 381,248.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,578.56 : 566,291.52 = 276,416.64 : x
  2. Step 2: Convert to fraction form
    410,578.56/566,291.52 = 276,416.64/x
  3. Step 3: Cross multiply
    410,578.56x = 566,291.52 × 276,416.64
  4. Step 4: Simplify right side
    410,578.56x = 156,532,399,218.89
  5. Step 5: Solve for x
    x = 156,532,399,218.89/410,578.56
  6. Step 6: Final answer
    x = 381,248.35

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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.