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Finding the Fourth Proportional to 397,078.20, 595,709.64 and 116,617.32

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Solution

The fourth proportional to 397,078.20, 595,709.64 and 116,617.32 is: 174,953.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,078.20 : 595,709.64 = 116,617.32 : x
  2. Step 2: Convert to fraction form
    397,078.20/595,709.64 = 116,617.32/x
  3. Step 3: Cross multiply
    397,078.20x = 595,709.64 × 116,617.32
  4. Step 4: Simplify right side
    397,078.20x = 69,470,061,714.96
  5. Step 5: Solve for x
    x = 69,470,061,714.96/397,078.20
  6. Step 6: Final answer
    x = 174,953.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.