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Finding the Fourth Proportional to 416,940.56, 575,378.46 and 225,953.94

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Solution

The fourth proportional to 416,940.56, 575,378.46 and 225,953.94 is: 311,816.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,940.56 : 575,378.46 = 225,953.94 : x
  2. Step 2: Convert to fraction form
    416,940.56/575,378.46 = 225,953.94/x
  3. Step 3: Cross multiply
    416,940.56x = 575,378.46 × 225,953.94
  4. Step 4: Simplify right side
    416,940.56x = 130,009,030,028.13
  5. Step 5: Solve for x
    x = 130,009,030,028.13/416,940.56
  6. Step 6: Final answer
    x = 311,816.70

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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.