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Finding the Fourth Proportional to 456,446.00, 684,731.31 and 190,144.23

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Solution

The fourth proportional to 456,446.00, 684,731.31 and 190,144.23 is: 285,242.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,446.00 : 684,731.31 = 190,144.23 : x
  2. Step 2: Convert to fraction form
    456,446.00/684,731.31 = 190,144.23/x
  3. Step 3: Cross multiply
    456,446.00x = 684,731.31 × 190,144.23
  4. Step 4: Simplify right side
    456,446.00x = 130,197,704,416.06
  5. Step 5: Solve for x
    x = 130,197,704,416.06/456,446.00
  6. Step 6: Final answer
    x = 285,242.29

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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.