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Finding the Fourth Proportional to 497,515.80, 745,836.30 and 297,915.60

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Solution

The fourth proportional to 497,515.80, 745,836.30 and 297,915.60 is: 446,611.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,515.80 : 745,836.30 = 297,915.60 : x
  2. Step 2: Convert to fraction form
    497,515.80/745,836.30 = 297,915.60/x
  3. Step 3: Cross multiply
    497,515.80x = 745,836.30 × 297,915.60
  4. Step 4: Simplify right side
    497,515.80x = 222,196,268,816.28
  5. Step 5: Solve for x
    x = 222,196,268,816.28/497,515.80
  6. Step 6: Final answer
    x = 446,611.48

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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.