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Finding the Fourth Proportional to 277,384.32, 416,119.68 and 90,352.32

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Solution

The fourth proportional to 277,384.32, 416,119.68 and 90,352.32 is: 135,542.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,384.32 : 416,119.68 = 90,352.32 : x
  2. Step 2: Convert to fraction form
    277,384.32/416,119.68 = 90,352.32/x
  3. Step 3: Cross multiply
    277,384.32x = 416,119.68 × 90,352.32
  4. Step 4: Simplify right side
    277,384.32x = 37,597,378,485.66
  5. Step 5: Solve for x
    x = 37,597,378,485.66/277,384.32
  6. Step 6: Final answer
    x = 135,542.55

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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.