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Finding the Fourth Proportional to 470,654.74, 649,507.80 and 255,795.31

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Solution

The fourth proportional to 470,654.74, 649,507.80 and 255,795.31 is: 352,999.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,654.74 : 649,507.80 = 255,795.31 : x
  2. Step 2: Convert to fraction form
    470,654.74/649,507.80 = 255,795.31/x
  3. Step 3: Cross multiply
    470,654.74x = 649,507.80 × 255,795.31
  4. Step 4: Simplify right side
    470,654.74x = 166,141,049,048.42
  5. Step 5: Solve for x
    x = 166,141,049,048.42/470,654.74
  6. Step 6: Final answer
    x = 352,999.84

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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.