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Finding the Fourth Proportional to 6,309,228.30, 9,463,842.45 and 2,049,827.10

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Solution

The fourth proportional to 6,309,228.30, 9,463,842.45 and 2,049,827.10 is: 3,074,740.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309,228.30 : 9,463,842.45 = 2,049,827.10 : x
  2. Step 2: Convert to fraction form
    6,309,228.30/9,463,842.45 = 2,049,827.10/x
  3. Step 3: Cross multiply
    6,309,228.30x = 9,463,842.45 × 2,049,827.10
  4. Step 4: Simplify right side
    6,309,228.30x = 19,399,240,724,140.39
  5. Step 5: Solve for x
    x = 19,399,240,724,140.39/6,309,228.30
  6. Step 6: Final answer
    x = 3,074,740.65

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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.