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Finding the Fourth Proportional to 3,669,464.70, 5,505,071.85 and 1,774,647.90

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Solution

The fourth proportional to 3,669,464.70, 5,505,071.85 and 1,774,647.90 is: 2,662,394.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669,464.70 : 5,505,071.85 = 1,774,647.90 : x
  2. Step 2: Convert to fraction form
    3,669,464.70/5,505,071.85 = 1,774,647.90/x
  3. Step 3: Cross multiply
    3,669,464.70x = 5,505,071.85 × 1,774,647.90
  4. Step 4: Simplify right side
    3,669,464.70x = 9,769,564,197,951.61
  5. Step 5: Solve for x
    x = 9,769,564,197,951.61/3,669,464.70
  6. Step 6: Final answer
    x = 2,662,394.93

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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.