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Finding the Fourth Proportional to 466,205.76, 699,505.32 and 297,915.84

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Solution

The fourth proportional to 466,205.76, 699,505.32 and 297,915.84 is: 446,999.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,205.76 : 699,505.32 = 297,915.84 : x
  2. Step 2: Convert to fraction form
    466,205.76/699,505.32 = 297,915.84/x
  3. Step 3: Cross multiply
    466,205.76x = 699,505.32 × 297,915.84
  4. Step 4: Simplify right side
    466,205.76x = 208,393,714,992.27
  5. Step 5: Solve for x
    x = 208,393,714,992.27/466,205.76
  6. Step 6: Final answer
    x = 446,999.44

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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.