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Finding the Fourth Proportional to 513,106.30, 769,333.43 and 450,053.03

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Solution

The fourth proportional to 513,106.30, 769,333.43 and 450,053.03 is: 674,793.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,106.30 : 769,333.43 = 450,053.03 : x
  2. Step 2: Convert to fraction form
    513,106.30/769,333.43 = 450,053.03/x
  3. Step 3: Cross multiply
    513,106.30x = 769,333.43 × 450,053.03
  4. Step 4: Simplify right side
    513,106.30x = 346,240,837,441.21
  5. Step 5: Solve for x
    x = 346,240,837,441.21/513,106.30
  6. Step 6: Final answer
    x = 674,793.59

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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.