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Finding the Fourth Proportional to 470,450.30, 649,224.52 and 255,590.31

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Solution

The fourth proportional to 470,450.30, 649,224.52 and 255,590.31 is: 352,716.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,450.30 : 649,224.52 = 255,590.31 : x
  2. Step 2: Convert to fraction form
    470,450.30/649,224.52 = 255,590.31/x
  3. Step 3: Cross multiply
    470,450.30x = 649,224.52 × 255,590.31
  4. Step 4: Simplify right side
    470,450.30x = 165,935,493,252.83
  5. Step 5: Solve for x
    x = 165,935,493,252.83/470,450.30
  6. Step 6: Final answer
    x = 352,716.31

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1.5x scale

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.