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Finding the Fourth Proportional to 294,085.60, 440,998.80 and 116,533.60

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Solution

The fourth proportional to 294,085.60, 440,998.80 and 116,533.60 is: 174,749.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,085.60 : 440,998.80 = 116,533.60 : x
  2. Step 2: Convert to fraction form
    294,085.60/440,998.80 = 116,533.60/x
  3. Step 3: Cross multiply
    294,085.60x = 440,998.80 × 116,533.60
  4. Step 4: Simplify right side
    294,085.60x = 51,391,177,759.68
  5. Step 5: Solve for x
    x = 51,391,177,759.68/294,085.60
  6. Step 6: Final answer
    x = 174,749.05

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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.