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Finding the Fourth Proportional to 470,825.36, 649,746.39 and 255,966.24

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Solution

The fourth proportional to 470,825.36, 649,746.39 and 255,966.24 is: 353,237.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,825.36 : 649,746.39 = 255,966.24 : x
  2. Step 2: Convert to fraction form
    470,825.36/649,746.39 = 255,966.24/x
  3. Step 3: Cross multiply
    470,825.36x = 649,746.39 × 255,966.24
  4. Step 4: Simplify right side
    470,825.36x = 166,313,139,122.04
  5. Step 5: Solve for x
    x = 166,313,139,122.04/470,825.36
  6. Step 6: Final answer
    x = 353,237.43

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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.