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Finding the Fourth Proportional to 309,564.94, 464,393.54 and 109,868.60

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Solution

The fourth proportional to 309,564.94, 464,393.54 and 109,868.60 is: 164,819.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,564.94 : 464,393.54 = 109,868.60 : x
  2. Step 2: Convert to fraction form
    309,564.94/464,393.54 = 109,868.60/x
  3. Step 3: Cross multiply
    309,564.94x = 464,393.54 × 109,868.60
  4. Step 4: Simplify right side
    309,564.94x = 51,022,268,088.84
  5. Step 5: Solve for x
    x = 51,022,268,088.84/309,564.94
  6. Step 6: Final answer
    x = 164,819.27

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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.