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Finding the Fourth Proportional to 323,253.72, 446,100.30 and 178,070.04

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Solution

The fourth proportional to 323,253.72, 446,100.30 and 178,070.04 is: 245,742.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,253.72 : 446,100.30 = 178,070.04 : x
  2. Step 2: Convert to fraction form
    323,253.72/446,100.30 = 178,070.04/x
  3. Step 3: Cross multiply
    323,253.72x = 446,100.30 × 178,070.04
  4. Step 4: Simplify right side
    323,253.72x = 79,437,098,265.01
  5. Step 5: Solve for x
    x = 79,437,098,265.01/323,253.72
  6. Step 6: Final answer
    x = 245,742.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.