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Finding the Fourth Proportional to 470,305.94, 649,026.96 and 255,450.20

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Solution

The fourth proportional to 470,305.94, 649,026.96 and 255,450.20 is: 352,523.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,305.94 : 649,026.96 = 255,450.20 : x
  2. Step 2: Convert to fraction form
    470,305.94/649,026.96 = 255,450.20/x
  3. Step 3: Cross multiply
    470,305.94x = 649,026.96 × 255,450.20
  4. Step 4: Simplify right side
    470,305.94x = 165,794,066,737.39
  5. Step 5: Solve for x
    x = 165,794,066,737.39/470,305.94
  6. Step 6: Final answer
    x = 352,523.86

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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.