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Finding the Fourth Proportional to 427,834.44, 590,226.12 and 257,974.20

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Solution

The fourth proportional to 427,834.44, 590,226.12 and 257,974.20 is: 355,892.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,834.44 : 590,226.12 = 257,974.20 : x
  2. Step 2: Convert to fraction form
    427,834.44/590,226.12 = 257,974.20/x
  3. Step 3: Cross multiply
    427,834.44x = 590,226.12 × 257,974.20
  4. Step 4: Simplify right side
    427,834.44x = 152,263,111,126.10
  5. Step 5: Solve for x
    x = 152,263,111,126.10/427,834.44
  6. Step 6: Final answer
    x = 355,892.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.