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Finding the Fourth Proportional to 470,883.29, 649,818.05 and 256,022.84

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Solution

The fourth proportional to 470,883.29, 649,818.05 and 256,022.84 is: 353,311.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,883.29 : 649,818.05 = 256,022.84 : x
  2. Step 2: Convert to fraction form
    470,883.29/649,818.05 = 256,022.84/x
  3. Step 3: Cross multiply
    470,883.29x = 649,818.05 × 256,022.84
  4. Step 4: Simplify right side
    470,883.29x = 166,368,262,644.26
  5. Step 5: Solve for x
    x = 166,368,262,644.26/470,883.29
  6. Step 6: Final answer
    x = 353,311.04

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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.