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Finding the Fourth Proportional to 470,657.82, 649,507.86 and 255,797.88

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Solution

The fourth proportional to 470,657.82, 649,507.86 and 255,797.88 is: 353,001.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,657.82 : 649,507.86 = 255,797.88 : x
  2. Step 2: Convert to fraction form
    470,657.82/649,507.86 = 255,797.88/x
  3. Step 3: Cross multiply
    470,657.82x = 649,507.86 × 255,797.88
  4. Step 4: Simplify right side
    470,657.82x = 166,142,736,786.56
  5. Step 5: Solve for x
    x = 166,142,736,786.56/470,657.82
  6. Step 6: Final answer
    x = 353,001.12

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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.