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Finding the Fourth Proportional to 513,336, 770,080.56 and 213,645.94

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Solution

The fourth proportional to 513,336, 770,080.56 and 213,645.94 is: 320,500.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,336 : 770,080.56 = 213,645.94 : x
  2. Step 2: Convert to fraction form
    513,336/770,080.56 = 213,645.94/x
  3. Step 3: Cross multiply
    513,336x = 770,080.56 × 213,645.94
  4. Step 4: Simplify right side
    513,336x = 164,524,585,116.93
  5. Step 5: Solve for x
    x = 164,524,585,116.93/513,336
  6. Step 6: Final answer
    x = 320,500.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.