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Finding the Fourth Proportional to 470,807.57, 649,686.85 and 255,945.75

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Solution

The fourth proportional to 470,807.57, 649,686.85 and 255,945.75 is: 353,190.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,807.57 : 649,686.85 = 255,945.75 : x
  2. Step 2: Convert to fraction form
    470,807.57/649,686.85 = 255,945.75/x
  3. Step 3: Cross multiply
    470,807.57x = 649,686.85 × 255,945.75
  4. Step 4: Simplify right side
    470,807.57x = 166,284,587,448.52
  5. Step 5: Solve for x
    x = 166,284,587,448.52/470,807.57
  6. Step 6: Final answer
    x = 353,190.14

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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.