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Finding the Fourth Proportional to 230,904, 346,414.32 and 64,692

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Solution

The fourth proportional to 230,904, 346,414.32 and 64,692 is: 97,054.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,904 : 346,414.32 = 64,692 : x
  2. Step 2: Convert to fraction form
    230,904/346,414.32 = 64,692/x
  3. Step 3: Cross multiply
    230,904x = 346,414.32 × 64,692
  4. Step 4: Simplify right side
    230,904x = 22,410,235,189.44
  5. Step 5: Solve for x
    x = 22,410,235,189.44/230,904
  6. Step 6: Final answer
    x = 97,054.34

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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.