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Finding the Fourth Proportional to 4,857,842.31, 7,286,762.54 and 1,446,178.80

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Solution

The fourth proportional to 4,857,842.31, 7,286,762.54 and 1,446,178.80 is: 2,169,267.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,857,842.31 : 7,286,762.54 = 1,446,178.80 : x
  2. Step 2: Convert to fraction form
    4,857,842.31/7,286,762.54 = 1,446,178.80/x
  3. Step 3: Cross multiply
    4,857,842.31x = 7,286,762.54 × 1,446,178.80
  4. Step 4: Simplify right side
    4,857,842.31x = 10,537,961,505,982.15
  5. Step 5: Solve for x
    x = 10,537,961,505,982.15/4,857,842.31
  6. Step 6: Final answer
    x = 2,169,267.93

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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.