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Finding the Fourth Proportional to 322,328.30, 483,493.80 and 109,097.90

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Solution

The fourth proportional to 322,328.30, 483,493.80 and 109,097.90 is: 163,647.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,328.30 : 483,493.80 = 109,097.90 : x
  2. Step 2: Convert to fraction form
    322,328.30/483,493.80 = 109,097.90/x
  3. Step 3: Cross multiply
    322,328.30x = 483,493.80 × 109,097.90
  4. Step 4: Simplify right side
    322,328.30x = 52,748,158,243.02
  5. Step 5: Solve for x
    x = 52,748,158,243.02/322,328.30
  6. Step 6: Final answer
    x = 163,647.31

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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.