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Finding the Fourth Proportional to 312,653.34, 469,121.49 and 123,061.50

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Solution

The fourth proportional to 312,653.34, 469,121.49 and 123,061.50 is: 184,647.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,653.34 : 469,121.49 = 123,061.50 : x
  2. Step 2: Convert to fraction form
    312,653.34/469,121.49 = 123,061.50/x
  3. Step 3: Cross multiply
    312,653.34x = 469,121.49 × 123,061.50
  4. Step 4: Simplify right side
    312,653.34x = 57,730,794,241.64
  5. Step 5: Solve for x
    x = 57,730,794,241.64/312,653.34
  6. Step 6: Final answer
    x = 184,647.94

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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.