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Finding the Fourth Proportional to 277,989.70, 416,984.55 and 256,338.40

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Solution

The fourth proportional to 277,989.70, 416,984.55 and 256,338.40 is: 384,507.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,989.70 : 416,984.55 = 256,338.40 : x
  2. Step 2: Convert to fraction form
    277,989.70/416,984.55 = 256,338.40/x
  3. Step 3: Cross multiply
    277,989.70x = 416,984.55 × 256,338.40
  4. Step 4: Simplify right side
    277,989.70x = 106,889,152,371.72
  5. Step 5: Solve for x
    x = 106,889,152,371.72/277,989.70
  6. Step 6: Final answer
    x = 384,507.60

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1.5x scale

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.