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Finding the Fourth Proportional to 277,596, 416,405.52 and 80,604

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Solution

The fourth proportional to 277,596, 416,405.52 and 80,604 is: 120,909.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,596 : 416,405.52 = 80,604 : x
  2. Step 2: Convert to fraction form
    277,596/416,405.52 = 80,604/x
  3. Step 3: Cross multiply
    277,596x = 416,405.52 × 80,604
  4. Step 4: Simplify right side
    277,596x = 33,563,950,534.08
  5. Step 5: Solve for x
    x = 33,563,950,534.08/277,596
  6. Step 6: Final answer
    x = 120,909.34

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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.