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Finding the Fourth Proportional to 470,823.66, 649,740.76 and 255,963.87

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Solution

The fourth proportional to 470,823.66, 649,740.76 and 255,963.87 is: 353,232.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,823.66 : 649,740.76 = 255,963.87 : x
  2. Step 2: Convert to fraction form
    470,823.66/649,740.76 = 255,963.87/x
  3. Step 3: Cross multiply
    470,823.66x = 649,740.76 × 255,963.87
  4. Step 4: Simplify right side
    470,823.66x = 166,310,158,786.43
  5. Step 5: Solve for x
    x = 166,310,158,786.43/470,823.66
  6. Step 6: Final answer
    x = 353,232.37

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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.