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Finding the Fourth Proportional to 416,942.07, 575,380.54 and 225,955.45

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Solution

The fourth proportional to 416,942.07, 575,380.54 and 225,955.45 is: 311,818.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,942.07 : 575,380.54 = 225,955.45 : x
  2. Step 2: Convert to fraction form
    416,942.07/575,380.54 = 225,955.45/x
  3. Step 3: Cross multiply
    416,942.07x = 575,380.54 × 225,955.45
  4. Step 4: Simplify right side
    416,942.07x = 130,010,368,836.94
  5. Step 5: Solve for x
    x = 130,010,368,836.94/416,942.07
  6. Step 6: Final answer
    x = 311,818.78

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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.