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Finding the Fourth Proportional to 389,089.32, 583,493.42 and 164,467.14

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Solution

The fourth proportional to 389,089.32, 583,493.42 and 164,467.14 is: 246,641.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,089.32 : 583,493.42 = 164,467.14 : x
  2. Step 2: Convert to fraction form
    389,089.32/583,493.42 = 164,467.14/x
  3. Step 3: Cross multiply
    389,089.32x = 583,493.42 × 164,467.14
  4. Step 4: Simplify right side
    389,089.32x = 95,965,493,996.22
  5. Step 5: Solve for x
    x = 95,965,493,996.22/389,089.32
  6. Step 6: Final answer
    x = 246,641.30

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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.