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Finding the Fourth Proportional to 277,817.84, 383,369.68 and 156,964.20

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Solution

The fourth proportional to 277,817.84, 383,369.68 and 156,964.20 is: 216,599.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,817.84 : 383,369.68 = 156,964.20 : x
  2. Step 2: Convert to fraction form
    277,817.84/383,369.68 = 156,964.20/x
  3. Step 3: Cross multiply
    277,817.84x = 383,369.68 × 156,964.20
  4. Step 4: Simplify right side
    277,817.84x = 60,175,315,125.46
  5. Step 5: Solve for x
    x = 60,175,315,125.46/277,817.84
  6. Step 6: Final answer
    x = 216,599.90

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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.