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Finding the Fourth Proportional to 219,409.40, 329,114.10 and 206,287.40

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Solution

The fourth proportional to 219,409.40, 329,114.10 and 206,287.40 is: 309,431.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,409.40 : 329,114.10 = 206,287.40 : x
  2. Step 2: Convert to fraction form
    219,409.40/329,114.10 = 206,287.40/x
  3. Step 3: Cross multiply
    219,409.40x = 329,114.10 × 206,287.40
  4. Step 4: Simplify right side
    219,409.40x = 67,892,091,992.34
  5. Step 5: Solve for x
    x = 67,892,091,992.34/219,409.40
  6. Step 6: Final answer
    x = 309,431.10

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1.5x scale

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.