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Finding the Fourth Proportional to 314,772.50, 434,385.38 and 171,532.20

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Solution

The fourth proportional to 314,772.50, 434,385.38 and 171,532.20 is: 236,714.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,772.50 : 434,385.38 = 171,532.20 : x
  2. Step 2: Convert to fraction form
    314,772.50/434,385.38 = 171,532.20/x
  3. Step 3: Cross multiply
    314,772.50x = 434,385.38 × 171,532.20
  4. Step 4: Simplify right side
    314,772.50x = 74,511,079,879.24
  5. Step 5: Solve for x
    x = 74,511,079,879.24/314,772.50
  6. Step 6: Final answer
    x = 236,714.07

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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.