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Finding the Fourth Proportional to 353,195.88, 529,662.60 and 116,475

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Solution

The fourth proportional to 353,195.88, 529,662.60 and 116,475 is: 174,669.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,195.88 : 529,662.60 = 116,475 : x
  2. Step 2: Convert to fraction form
    353,195.88/529,662.60 = 116,475/x
  3. Step 3: Cross multiply
    353,195.88x = 529,662.60 × 116,475
  4. Step 4: Simplify right side
    353,195.88x = 61,692,451,335
  5. Step 5: Solve for x
    x = 61,692,451,335/353,195.88
  6. Step 6: Final answer
    x = 174,669.23

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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.