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Finding the Fourth Proportional to 321,302.14, 443,389.41 and 178,059.11

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Solution

The fourth proportional to 321,302.14, 443,389.41 and 178,059.11 is: 245,717.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,302.14 : 443,389.41 = 178,059.11 : x
  2. Step 2: Convert to fraction form
    321,302.14/443,389.41 = 178,059.11/x
  3. Step 3: Cross multiply
    321,302.14x = 443,389.41 × 178,059.11
  4. Step 4: Simplify right side
    321,302.14x = 78,949,522,506.07
  5. Step 5: Solve for x
    x = 78,949,522,506.07/321,302.14
  6. Step 6: Final answer
    x = 245,717.39

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1.5x scale

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.