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Finding the Fourth Proportional to 345,880.54, 477,309.27 and 194,977.18

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Solution

The fourth proportional to 345,880.54, 477,309.27 and 194,977.18 is: 269,065.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,880.54 : 477,309.27 = 194,977.18 : x
  2. Step 2: Convert to fraction form
    345,880.54/477,309.27 = 194,977.18/x
  3. Step 3: Cross multiply
    345,880.54x = 477,309.27 × 194,977.18
  4. Step 4: Simplify right side
    345,880.54x = 93,064,415,452.46
  5. Step 5: Solve for x
    x = 93,064,415,452.46/345,880.54
  6. Step 6: Final answer
    x = 269,065.20

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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.