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Finding the Fourth Proportional to 310,544.10, 465,914.57 and 110,860.07

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Solution

The fourth proportional to 310,544.10, 465,914.57 and 110,860.07 is: 166,325.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,544.10 : 465,914.57 = 110,860.07 : x
  2. Step 2: Convert to fraction form
    310,544.10/465,914.57 = 110,860.07/x
  3. Step 3: Cross multiply
    310,544.10x = 465,914.57 × 110,860.07
  4. Step 4: Simplify right side
    310,544.10x = 51,651,318,960.35
  5. Step 5: Solve for x
    x = 51,651,318,960.35/310,544.10
  6. Step 6: Final answer
    x = 166,325.23

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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.