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Finding the Fourth Proportional to 310,564.14, 465,944.64 and 110,880.10

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Solution

The fourth proportional to 310,564.14, 465,944.64 and 110,880.10 is: 166,355.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,564.14 : 465,944.64 = 110,880.10 : x
  2. Step 2: Convert to fraction form
    310,564.14/465,944.64 = 110,880.10/x
  3. Step 3: Cross multiply
    310,564.14x = 465,944.64 × 110,880.10
  4. Step 4: Simplify right side
    310,564.14x = 51,663,988,277.66
  5. Step 5: Solve for x
    x = 51,663,988,277.66/310,564.14
  6. Step 6: Final answer
    x = 166,355.29

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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.