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Finding the Fourth Proportional to 284,414.40, 426,506.40 and 97,329.60

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Solution

The fourth proportional to 284,414.40, 426,506.40 and 97,329.60 is: 145,954.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,414.40 : 426,506.40 = 97,329.60 : x
  2. Step 2: Convert to fraction form
    284,414.40/426,506.40 = 97,329.60/x
  3. Step 3: Cross multiply
    284,414.40x = 426,506.40 × 97,329.60
  4. Step 4: Simplify right side
    284,414.40x = 41,511,697,309.44
  5. Step 5: Solve for x
    x = 41,511,697,309.44/284,414.40
  6. Step 6: Final answer
    x = 145,954.98

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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.