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Finding the Fourth Proportional to 221,446.40, 332,169.60 and 209,782.40

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Solution

The fourth proportional to 221,446.40, 332,169.60 and 209,782.40 is: 314,673.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,446.40 : 332,169.60 = 209,782.40 : x
  2. Step 2: Convert to fraction form
    221,446.40/332,169.60 = 209,782.40/x
  3. Step 3: Cross multiply
    221,446.40x = 332,169.60 × 209,782.40
  4. Step 4: Simplify right side
    221,446.40x = 69,683,335,895.04
  5. Step 5: Solve for x
    x = 69,683,335,895.04/221,446.40
  6. Step 6: Final answer
    x = 314,673.60

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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.