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Finding the Fourth Proportional to 470,751.33, 649,949.64 and 361,661.34

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Solution

The fourth proportional to 470,751.33, 649,949.64 and 361,661.34 is: 499,332.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,751.33 : 649,949.64 = 361,661.34 : x
  2. Step 2: Convert to fraction form
    470,751.33/649,949.64 = 361,661.34/x
  3. Step 3: Cross multiply
    470,751.33x = 649,949.64 × 361,661.34
  4. Step 4: Simplify right side
    470,751.33x = 235,061,658,816.00
  5. Step 5: Solve for x
    x = 235,061,658,816.00/470,751.33
  6. Step 6: Final answer
    x = 499,332.96

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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.