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Finding the Fourth Proportional to 470,536.16, 649,343.86 and 255,676.25

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Solution

The fourth proportional to 470,536.16, 649,343.86 and 255,676.25 is: 352,835.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,536.16 : 649,343.86 = 255,676.25 : x
  2. Step 2: Convert to fraction form
    470,536.16/649,343.86 = 255,676.25/x
  3. Step 3: Cross multiply
    470,536.16x = 649,343.86 × 255,676.25
  4. Step 4: Simplify right side
    470,536.16x = 166,021,800,416.94
  5. Step 5: Solve for x
    x = 166,021,800,416.94/470,536.16
  6. Step 6: Final answer
    x = 352,835.37

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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.