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Finding the Fourth Proportional to 682,574.50, 1,023,064.53 and 513,551.80

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Solution

The fourth proportional to 682,574.50, 1,023,064.53 and 513,551.80 is: 769,727.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,574.50 : 1,023,064.53 = 513,551.80 : x
  2. Step 2: Convert to fraction form
    682,574.50/1,023,064.53 = 513,551.80/x
  3. Step 3: Cross multiply
    682,574.50x = 1,023,064.53 × 513,551.80
  4. Step 4: Simplify right side
    682,574.50x = 525,396,630,897.65
  5. Step 5: Solve for x
    x = 525,396,630,897.65/682,574.50
  6. Step 6: Final answer
    x = 769,727.89

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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.