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Finding the Fourth Proportional to 314,939.80, 472,409.70 and 188,968.60

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Solution

The fourth proportional to 314,939.80, 472,409.70 and 188,968.60 is: 283,452.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,939.80 : 472,409.70 = 188,968.60 : x
  2. Step 2: Convert to fraction form
    314,939.80/472,409.70 = 188,968.60/x
  3. Step 3: Cross multiply
    314,939.80x = 472,409.70 × 188,968.60
  4. Step 4: Simplify right side
    314,939.80x = 89,270,599,635.42
  5. Step 5: Solve for x
    x = 89,270,599,635.42/314,939.80
  6. Step 6: Final answer
    x = 283,452.90

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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.