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Finding the Fourth Proportional to 552,698.20, 829,922.10 and 419,728.60

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Solution

The fourth proportional to 552,698.20, 829,922.10 and 419,728.60 is: 630,257.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,698.20 : 829,922.10 = 419,728.60 : x
  2. Step 2: Convert to fraction form
    552,698.20/829,922.10 = 419,728.60/x
  3. Step 3: Cross multiply
    552,698.20x = 829,922.10 × 419,728.60
  4. Step 4: Simplify right side
    552,698.20x = 348,342,041,142.06
  5. Step 5: Solve for x
    x = 348,342,041,142.06/552,698.20
  6. Step 6: Final answer
    x = 630,257.24

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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.