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Finding the Fourth Proportional to 679,504.70, 1,019,913.15 and 413,784.20

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Solution

The fourth proportional to 679,504.70, 1,019,913.15 and 413,784.20 is: 621,075.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,504.70 : 1,019,913.15 = 413,784.20 : x
  2. Step 2: Convert to fraction form
    679,504.70/1,019,913.15 = 413,784.20/x
  3. Step 3: Cross multiply
    679,504.70x = 1,019,913.15 × 413,784.20
  4. Step 4: Simplify right side
    679,504.70x = 422,023,946,842.23
  5. Step 5: Solve for x
    x = 422,023,946,842.23/679,504.70
  6. Step 6: Final answer
    x = 621,075.83

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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.