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Finding the Fourth Proportional to 3,462,751.80, 5,194,216.80 and 1,640,689.20

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Solution

The fourth proportional to 3,462,751.80, 5,194,216.80 and 1,640,689.20 is: 2,461,076.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462,751.80 : 5,194,216.80 = 1,640,689.20 : x
  2. Step 2: Convert to fraction form
    3,462,751.80/5,194,216.80 = 1,640,689.20/x
  3. Step 3: Cross multiply
    3,462,751.80x = 5,194,216.80 × 1,640,689.20
  4. Step 4: Simplify right side
    3,462,751.80x = 8,522,095,406,218.56
  5. Step 5: Solve for x
    x = 8,522,095,406,218.56/3,462,751.80
  6. Step 6: Final answer
    x = 2,461,076.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.