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Finding the Fourth Proportional to 416,043.01, 574,138.89 and 225,055.93

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Solution

The fourth proportional to 416,043.01, 574,138.89 and 225,055.93 is: 310,576.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,043.01 : 574,138.89 = 225,055.93 : x
  2. Step 2: Convert to fraction form
    416,043.01/574,138.89 = 225,055.93/x
  3. Step 3: Cross multiply
    416,043.01x = 574,138.89 × 225,055.93
  4. Step 4: Simplify right side
    416,043.01x = 129,213,361,838.12
  5. Step 5: Solve for x
    x = 129,213,361,838.12/416,043.01
  6. Step 6: Final answer
    x = 310,576.93

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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.