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Finding the Fourth Proportional to 277,688.66, 383,213.07 and 150,366.98

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Solution

The fourth proportional to 277,688.66, 383,213.07 and 150,366.98 is: 207,507.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,688.66 : 383,213.07 = 150,366.98 : x
  2. Step 2: Convert to fraction form
    277,688.66/383,213.07 = 150,366.98/x
  3. Step 3: Cross multiply
    277,688.66x = 383,213.07 × 150,366.98
  4. Step 4: Simplify right side
    277,688.66x = 57,622,592,032.43
  5. Step 5: Solve for x
    x = 57,622,592,032.43/277,688.66
  6. Step 6: Final answer
    x = 207,507.90

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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.