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Finding the Fourth Proportional to 380,489.66, 567,376.78 and 377,072.98

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Solution

The fourth proportional to 380,489.66, 567,376.78 and 377,072.98 is: 562,281.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,489.66 : 567,376.78 = 377,072.98 : x
  2. Step 2: Convert to fraction form
    380,489.66/567,376.78 = 377,072.98/x
  3. Step 3: Cross multiply
    380,489.66x = 567,376.78 × 377,072.98
  4. Step 4: Simplify right side
    380,489.66x = 213,942,453,217.40
  5. Step 5: Solve for x
    x = 213,942,453,217.40/380,489.66
  6. Step 6: Final answer
    x = 562,281.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.