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Finding the Fourth Proportional to 522,046.08, 782,518.32 and 206,068.32

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Solution

The fourth proportional to 522,046.08, 782,518.32 and 206,068.32 is: 308,885.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,046.08 : 782,518.32 = 206,068.32 : x
  2. Step 2: Convert to fraction form
    522,046.08/782,518.32 = 206,068.32/x
  3. Step 3: Cross multiply
    522,046.08x = 782,518.32 × 206,068.32
  4. Step 4: Simplify right side
    522,046.08x = 161,252,235,571.62
  5. Step 5: Solve for x
    x = 161,252,235,571.62/522,046.08
  6. Step 6: Final answer
    x = 308,885.06

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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.