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Finding the Fourth Proportional to 470,967.94, 649,938.81 and 256,110.34

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Solution

The fourth proportional to 470,967.94, 649,938.81 and 256,110.34 is: 353,433.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,967.94 : 649,938.81 = 256,110.34 : x
  2. Step 2: Convert to fraction form
    470,967.94/649,938.81 = 256,110.34/x
  3. Step 3: Cross multiply
    470,967.94x = 649,938.81 × 256,110.34
  4. Step 4: Simplify right side
    470,967.94x = 166,456,049,608.30
  5. Step 5: Solve for x
    x = 166,456,049,608.30/470,967.94
  6. Step 6: Final answer
    x = 353,433.93

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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.