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Finding the Fourth Proportional to 277,544.17, 383,014.20 and 162,824.78

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Solution

The fourth proportional to 277,544.17, 383,014.20 and 162,824.78 is: 224,700.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,544.17 : 383,014.20 = 162,824.78 : x
  2. Step 2: Convert to fraction form
    277,544.17/383,014.20 = 162,824.78/x
  3. Step 3: Cross multiply
    277,544.17x = 383,014.20 × 162,824.78
  4. Step 4: Simplify right side
    277,544.17x = 62,364,202,851.88
  5. Step 5: Solve for x
    x = 62,364,202,851.88/277,544.17
  6. Step 6: Final answer
    x = 224,700.10

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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.