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Finding the Fourth Proportional to 294,057.60, 441,086.40 and 116,505.60

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Solution

The fourth proportional to 294,057.60, 441,086.40 and 116,505.60 is: 174,758.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,057.60 : 441,086.40 = 116,505.60 : x
  2. Step 2: Convert to fraction form
    294,057.60/441,086.40 = 116,505.60/x
  3. Step 3: Cross multiply
    294,057.60x = 441,086.40 × 116,505.60
  4. Step 4: Simplify right side
    294,057.60x = 51,389,035,683.84
  5. Step 5: Solve for x
    x = 51,389,035,683.84/294,057.60
  6. Step 6: Final answer
    x = 174,758.40

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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.