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Finding the Fourth Proportional to 410,716.40, 616,166.40 and 144,485.60

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Solution

The fourth proportional to 410,716.40, 616,166.40 and 144,485.60 is: 216,760.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,716.40 : 616,166.40 = 144,485.60 : x
  2. Step 2: Convert to fraction form
    410,716.40/616,166.40 = 144,485.60/x
  3. Step 3: Cross multiply
    410,716.40x = 616,166.40 × 144,485.60
  4. Step 4: Simplify right side
    410,716.40x = 89,027,172,003.84
  5. Step 5: Solve for x
    x = 89,027,172,003.84/410,716.40
  6. Step 6: Final answer
    x = 216,760.69

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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.