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Finding the Fourth Proportional to 496,594.80, 744,989.40 and 212,284.80

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Solution

The fourth proportional to 496,594.80, 744,989.40 and 212,284.80 is: 318,468.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,594.80 : 744,989.40 = 212,284.80 : x
  2. Step 2: Convert to fraction form
    496,594.80/744,989.40 = 212,284.80/x
  3. Step 3: Cross multiply
    496,594.80x = 744,989.40 × 212,284.80
  4. Step 4: Simplify right side
    496,594.80x = 158,149,925,781.12
  5. Step 5: Solve for x
    x = 158,149,925,781.12/496,594.80
  6. Step 6: Final answer
    x = 318,468.75

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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.