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Finding the Fourth Proportional to 284,297.50, 426,448.41 and 97,310.62

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Solution

The fourth proportional to 284,297.50, 426,448.41 and 97,310.62 is: 145,966.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,297.50 : 426,448.41 = 97,310.62 : x
  2. Step 2: Convert to fraction form
    284,297.50/426,448.41 = 97,310.62/x
  3. Step 3: Cross multiply
    284,297.50x = 426,448.41 × 97,310.62
  4. Step 4: Simplify right side
    284,297.50x = 41,497,959,175.11
  5. Step 5: Solve for x
    x = 41,497,959,175.11/284,297.50
  6. Step 6: Final answer
    x = 145,966.67

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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.