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Finding the Fourth Proportional to 562,022.30, 775,590.23 and 303,898.64

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Solution

The fourth proportional to 562,022.30, 775,590.23 and 303,898.64 is: 419,379.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,022.30 : 775,590.23 = 303,898.64 : x
  2. Step 2: Convert to fraction form
    562,022.30/775,590.23 = 303,898.64/x
  3. Step 3: Cross multiply
    562,022.30x = 775,590.23 × 303,898.64
  4. Step 4: Simplify right side
    562,022.30x = 235,700,812,976.08
  5. Step 5: Solve for x
    x = 235,700,812,976.08/562,022.30
  6. Step 6: Final answer
    x = 419,379.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.