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Finding the Fourth Proportional to 398,842.56, 598,380.48 and 118,367.10

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Solution

The fourth proportional to 398,842.56, 598,380.48 and 118,367.10 is: 177,585.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,842.56 : 598,380.48 = 118,367.10 : x
  2. Step 2: Convert to fraction form
    398,842.56/598,380.48 = 118,367.10/x
  3. Step 3: Cross multiply
    398,842.56x = 598,380.48 × 118,367.10
  4. Step 4: Simplify right side
    398,842.56x = 70,828,562,114.21
  5. Step 5: Solve for x
    x = 70,828,562,114.21/398,842.56
  6. Step 6: Final answer
    x = 177,585.27

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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.