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Finding the Fourth Proportional to 277,571, 416,368.02 and 80,579

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Solution

The fourth proportional to 277,571, 416,368.02 and 80,579 is: 120,871.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,571 : 416,368.02 = 80,579 : x
  2. Step 2: Convert to fraction form
    277,571/416,368.02 = 80,579/x
  3. Step 3: Cross multiply
    277,571x = 416,368.02 × 80,579
  4. Step 4: Simplify right side
    277,571x = 33,550,518,683.58
  5. Step 5: Solve for x
    x = 33,550,518,683.58/277,571
  6. Step 6: Final answer
    x = 120,871.84

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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.