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Finding the Fourth Proportional to 416,407.36, 574,642.06 and 225,420.60

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Solution

The fourth proportional to 416,407.36, 574,642.06 and 225,420.60 is: 311,080.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,407.36 : 574,642.06 = 225,420.60 : x
  2. Step 2: Convert to fraction form
    416,407.36/574,642.06 = 225,420.60/x
  3. Step 3: Cross multiply
    416,407.36x = 574,642.06 × 225,420.60
  4. Step 4: Simplify right side
    416,407.36x = 129,536,157,950.44
  5. Step 5: Solve for x
    x = 129,536,157,950.44/416,407.36
  6. Step 6: Final answer
    x = 311,080.38

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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.