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Finding the Fourth Proportional to 398,826.24, 598,239.60 and 118,341

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Solution

The fourth proportional to 398,826.24, 598,239.60 and 118,341 is: 177,511.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,826.24 : 598,239.60 = 118,341 : x
  2. Step 2: Convert to fraction form
    398,826.24/598,239.60 = 118,341/x
  3. Step 3: Cross multiply
    398,826.24x = 598,239.60 × 118,341
  4. Step 4: Simplify right side
    398,826.24x = 70,796,272,503.60
  5. Step 5: Solve for x
    x = 70,796,272,503.60/398,826.24
  6. Step 6: Final answer
    x = 177,511.57

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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.