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Finding the Fourth Proportional to 323,024.94, 484,592.76 and 109,770.30

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Solution

The fourth proportional to 323,024.94, 484,592.76 and 109,770.30 is: 164,674.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,024.94 : 484,592.76 = 109,770.30 : x
  2. Step 2: Convert to fraction form
    323,024.94/484,592.76 = 109,770.30/x
  3. Step 3: Cross multiply
    323,024.94x = 484,592.76 × 109,770.30
  4. Step 4: Simplify right side
    323,024.94x = 53,193,892,643.03
  5. Step 5: Solve for x
    x = 53,193,892,643.03/323,024.94
  6. Step 6: Final answer
    x = 164,674.26

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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.