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Finding the Fourth Proportional to 277,693.62, 383,217.40 and 150,369.32

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Solution

The fourth proportional to 277,693.62, 383,217.40 and 150,369.32 is: 207,509.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,693.62 : 383,217.40 = 150,369.32 : x
  2. Step 2: Convert to fraction form
    277,693.62/383,217.40 = 150,369.32/x
  3. Step 3: Cross multiply
    277,693.62x = 383,217.40 × 150,369.32
  4. Step 4: Simplify right side
    277,693.62x = 57,624,139,850.17
  5. Step 5: Solve for x
    x = 57,624,139,850.17/277,693.62
  6. Step 6: Final answer
    x = 207,509.77

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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.