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Finding the Fourth Proportional to 284,575.74, 427,453.32 and 225,824.82

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Solution

The fourth proportional to 284,575.74, 427,453.32 and 225,824.82 is: 339,205.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,575.74 : 427,453.32 = 225,824.82 : x
  2. Step 2: Convert to fraction form
    284,575.74/427,453.32 = 225,824.82/x
  3. Step 3: Cross multiply
    284,575.74x = 427,453.32 × 225,824.82
  4. Step 4: Simplify right side
    284,575.74x = 96,529,569,047.40
  5. Step 5: Solve for x
    x = 96,529,569,047.40/284,575.74
  6. Step 6: Final answer
    x = 339,205.19

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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.