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Finding the Fourth Proportional to 277,399.36, 382,810.72 and 150,074.72

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Solution

The fourth proportional to 277,399.36, 382,810.72 and 150,074.72 is: 207,102.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,399.36 : 382,810.72 = 150,074.72 : x
  2. Step 2: Convert to fraction form
    277,399.36/382,810.72 = 150,074.72/x
  3. Step 3: Cross multiply
    277,399.36x = 382,810.72 × 150,074.72
  4. Step 4: Simplify right side
    277,399.36x = 57,450,211,617.00
  5. Step 5: Solve for x
    x = 57,450,211,617.00/277,399.36
  6. Step 6: Final answer
    x = 207,102.90

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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.