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Finding the Fourth Proportional to 270,400.54, 405,314.79 and 101,847.94

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Solution

The fourth proportional to 270,400.54, 405,314.79 and 101,847.94 is: 152,664.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,400.54 : 405,314.79 = 101,847.94 : x
  2. Step 2: Convert to fraction form
    270,400.54/405,314.79 = 101,847.94/x
  3. Step 3: Cross multiply
    270,400.54x = 405,314.79 × 101,847.94
  4. Step 4: Simplify right side
    270,400.54x = 41,280,474,386.46
  5. Step 5: Solve for x
    x = 41,280,474,386.46/270,400.54
  6. Step 6: Final answer
    x = 152,664.17

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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.