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Finding the Fourth Proportional to 217,941.60, 326,912.40 and 77,649.60

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Solution

The fourth proportional to 217,941.60, 326,912.40 and 77,649.60 is: 116,474.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,941.60 : 326,912.40 = 77,649.60 : x
  2. Step 2: Convert to fraction form
    217,941.60/326,912.40 = 77,649.60/x
  3. Step 3: Cross multiply
    217,941.60x = 326,912.40 × 77,649.60
  4. Step 4: Simplify right side
    217,941.60x = 25,384,617,095.04
  5. Step 5: Solve for x
    x = 25,384,617,095.04/217,941.60
  6. Step 6: Final answer
    x = 116,474.40

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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.