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Finding the Fourth Proportional to 382,706.70, 574,069.50 and 183,048.18

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Solution

The fourth proportional to 382,706.70, 574,069.50 and 183,048.18 is: 274,576.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,706.70 : 574,069.50 = 183,048.18 : x
  2. Step 2: Convert to fraction form
    382,706.70/574,069.50 = 183,048.18/x
  3. Step 3: Cross multiply
    382,706.70x = 574,069.50 × 183,048.18
  4. Step 4: Simplify right side
    382,706.70x = 105,082,377,168.51
  5. Step 5: Solve for x
    x = 105,082,377,168.51/382,706.70
  6. Step 6: Final answer
    x = 274,576.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.