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Finding the Fourth Proportional to 292,435.30, 438,768.15 and 114,912.10

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Solution

The fourth proportional to 292,435.30, 438,768.15 and 114,912.10 is: 172,413.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,435.30 : 438,768.15 = 114,912.10 : x
  2. Step 2: Convert to fraction form
    292,435.30/438,768.15 = 114,912.10/x
  3. Step 3: Cross multiply
    292,435.30x = 438,768.15 × 114,912.10
  4. Step 4: Simplify right side
    292,435.30x = 50,419,769,529.62
  5. Step 5: Solve for x
    x = 50,419,769,529.62/292,435.30
  6. Step 6: Final answer
    x = 172,413.42

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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.