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Finding the Fourth Proportional to 496,307.25, 743,276.25 and 285,502.32

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Solution

The fourth proportional to 496,307.25, 743,276.25 and 285,502.32 is: 427,572.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,307.25 : 743,276.25 = 285,502.32 : x
  2. Step 2: Convert to fraction form
    496,307.25/743,276.25 = 285,502.32/x
  3. Step 3: Cross multiply
    496,307.25x = 743,276.25 × 285,502.32
  4. Step 4: Simplify right side
    496,307.25x = 212,207,093,775.90
  5. Step 5: Solve for x
    x = 212,207,093,775.90/496,307.25
  6. Step 6: Final answer
    x = 427,572.02

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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.