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Finding the Fourth Proportional to 277,544.84, 416,356.54 and 85,435.11

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Solution

The fourth proportional to 277,544.84, 416,356.54 and 85,435.11 is: 128,164.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,544.84 : 416,356.54 = 85,435.11 : x
  2. Step 2: Convert to fraction form
    277,544.84/416,356.54 = 85,435.11/x
  3. Step 3: Cross multiply
    277,544.84x = 416,356.54 × 85,435.11
  4. Step 4: Simplify right side
    277,544.84x = 35,571,466,580.53
  5. Step 5: Solve for x
    x = 35,571,466,580.53/277,544.84
  6. Step 6: Final answer
    x = 128,164.76

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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.