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Finding the Fourth Proportional to 416,573.56, 574,871.82 and 225,587.16

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Solution

The fourth proportional to 416,573.56, 574,871.82 and 225,587.16 is: 311,310.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,573.56 : 574,871.82 = 225,587.16 : x
  2. Step 2: Convert to fraction form
    416,573.56/574,871.82 = 225,587.16/x
  3. Step 3: Cross multiply
    416,573.56x = 574,871.82 × 225,587.16
  4. Step 4: Simplify right side
    416,573.56x = 129,683,701,237.83
  5. Step 5: Solve for x
    x = 129,683,701,237.83/416,573.56
  6. Step 6: Final answer
    x = 311,310.45

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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.