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Finding the Fourth Proportional to 322,602.59, 483,976.11 and 109,357.94

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Solution

The fourth proportional to 322,602.59, 483,976.11 and 109,357.94 is: 164,061.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,602.59 : 483,976.11 = 109,357.94 : x
  2. Step 2: Convert to fraction form
    322,602.59/483,976.11 = 109,357.94/x
  3. Step 3: Cross multiply
    322,602.59x = 483,976.11 × 109,357.94
  4. Step 4: Simplify right side
    322,602.59x = 52,926,630,398.81
  5. Step 5: Solve for x
    x = 52,926,630,398.81/322,602.59
  6. Step 6: Final answer
    x = 164,061.39

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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.