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Finding the Fourth Proportional to 470,896.14, 649,818.75 and 256,036.38

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Solution

The fourth proportional to 470,896.14, 649,818.75 and 256,036.38 is: 353,320.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,896.14 : 649,818.75 = 256,036.38 : x
  2. Step 2: Convert to fraction form
    470,896.14/649,818.75 = 256,036.38/x
  3. Step 3: Cross multiply
    470,896.14x = 649,818.75 × 256,036.38
  4. Step 4: Simplify right side
    470,896.14x = 166,377,240,406.13
  5. Step 5: Solve for x
    x = 166,377,240,406.13/470,896.14
  6. Step 6: Final answer
    x = 353,320.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.