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Finding the Fourth Proportional to 430,848, 594,616.32 and 252,149.76

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Solution

The fourth proportional to 430,848, 594,616.32 and 252,149.76 is: 347,993.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,848 : 594,616.32 = 252,149.76 : x
  2. Step 2: Convert to fraction form
    430,848/594,616.32 = 252,149.76/x
  3. Step 3: Cross multiply
    430,848x = 594,616.32 × 252,149.76
  4. Step 4: Simplify right side
    430,848x = 149,932,362,380.08
  5. Step 5: Solve for x
    x = 149,932,362,380.08/430,848
  6. Step 6: Final answer
    x = 347,993.64

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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.