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Finding the Fourth Proportional to 431,321.80, 647,112.30 and 306,905.80

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Solution

The fourth proportional to 431,321.80, 647,112.30 and 306,905.80 is: 460,450.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,321.80 : 647,112.30 = 306,905.80 : x
  2. Step 2: Convert to fraction form
    431,321.80/647,112.30 = 306,905.80/x
  3. Step 3: Cross multiply
    431,321.80x = 647,112.30 × 306,905.80
  4. Step 4: Simplify right side
    431,321.80x = 198,602,518,121.34
  5. Step 5: Solve for x
    x = 198,602,518,121.34/431,321.80
  6. Step 6: Final answer
    x = 460,450.92

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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.