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Finding the Fourth Proportional to 317,468.34, 438,242.96 and 194,980.56

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Solution

The fourth proportional to 317,468.34, 438,242.96 and 194,980.56 is: 269,157.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,468.34 : 438,242.96 = 194,980.56 : x
  2. Step 2: Convert to fraction form
    317,468.34/438,242.96 = 194,980.56/x
  3. Step 3: Cross multiply
    317,468.34x = 438,242.96 × 194,980.56
  4. Step 4: Simplify right side
    317,468.34x = 85,448,858,894.97
  5. Step 5: Solve for x
    x = 85,448,858,894.97/317,468.34
  6. Step 6: Final answer
    x = 269,157.11

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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.