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Finding the Fourth Proportional to 315,835.52, 435,858.74 and 172,601.60

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Solution

The fourth proportional to 315,835.52, 435,858.74 and 172,601.60 is: 238,193.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,835.52 : 435,858.74 = 172,601.60 : x
  2. Step 2: Convert to fraction form
    315,835.52/435,858.74 = 172,601.60/x
  3. Step 3: Cross multiply
    315,835.52x = 435,858.74 × 172,601.60
  4. Step 4: Simplify right side
    315,835.52x = 75,229,915,897.98
  5. Step 5: Solve for x
    x = 75,229,915,897.98/315,835.52
  6. Step 6: Final answer
    x = 238,193.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.