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Finding the Fourth Proportional to 277,533, 382,995.54 and 150,209.64

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Solution

The fourth proportional to 277,533, 382,995.54 and 150,209.64 is: 207,289.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,533 : 382,995.54 = 150,209.64 : x
  2. Step 2: Convert to fraction form
    277,533/382,995.54 = 150,209.64/x
  3. Step 3: Cross multiply
    277,533x = 382,995.54 × 150,209.64
  4. Step 4: Simplify right side
    277,533x = 57,529,622,185.01
  5. Step 5: Solve for x
    x = 57,529,622,185.01/277,533
  6. Step 6: Final answer
    x = 207,289.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.