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Finding the Fourth Proportional to 446,229.72, 615,568.86 and 284,915.16

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Solution

The fourth proportional to 446,229.72, 615,568.86 and 284,915.16 is: 393,037.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,229.72 : 615,568.86 = 284,915.16 : x
  2. Step 2: Convert to fraction form
    446,229.72/615,568.86 = 284,915.16/x
  3. Step 3: Cross multiply
    446,229.72x = 615,568.86 × 284,915.16
  4. Step 4: Simplify right side
    446,229.72x = 175,384,900,237.92
  5. Step 5: Solve for x
    x = 175,384,900,237.92/446,229.72
  6. Step 6: Final answer
    x = 393,037.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.