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Finding the Fourth Proportional to 321,362.16, 443,506.32 and 178,167.12

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Solution

The fourth proportional to 321,362.16, 443,506.32 and 178,167.12 is: 245,885.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,362.16 : 443,506.32 = 178,167.12 : x
  2. Step 2: Convert to fraction form
    321,362.16/443,506.32 = 178,167.12/x
  3. Step 3: Cross multiply
    321,362.16x = 443,506.32 × 178,167.12
  4. Step 4: Simplify right side
    321,362.16x = 79,018,243,736.20
  5. Step 5: Solve for x
    x = 79,018,243,736.20/321,362.16
  6. Step 6: Final answer
    x = 245,885.34

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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.