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Finding the Fourth Proportional to 294,409.60, 441,398.40 and 116,828.80

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Solution

The fourth proportional to 294,409.60, 441,398.40 and 116,828.80 is: 175,157.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,409.60 : 441,398.40 = 116,828.80 : x
  2. Step 2: Convert to fraction form
    294,409.60/441,398.40 = 116,828.80/x
  3. Step 3: Cross multiply
    294,409.60x = 441,398.40 × 116,828.80
  4. Step 4: Simplify right side
    294,409.60x = 51,568,045,393.92
  5. Step 5: Solve for x
    x = 51,568,045,393.92/294,409.60
  6. Step 6: Final answer
    x = 175,157.49

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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.