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Finding the Fourth Proportional to 345,047.36, 476,164.32 and 194,144.48

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Solution

The fourth proportional to 345,047.36, 476,164.32 and 194,144.48 is: 267,918.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,047.36 : 476,164.32 = 194,144.48 : x
  2. Step 2: Convert to fraction form
    345,047.36/476,164.32 = 194,144.48/x
  3. Step 3: Cross multiply
    345,047.36x = 476,164.32 × 194,144.48
  4. Step 4: Simplify right side
    345,047.36x = 92,444,674,300.95
  5. Step 5: Solve for x
    x = 92,444,674,300.95/345,047.36
  6. Step 6: Final answer
    x = 267,918.80

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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.