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Finding the Fourth Proportional to 416,124.88, 574,840.20 and 331,133.20

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Solution

The fourth proportional to 416,124.88, 574,840.20 and 331,133.20 is: 457,431.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,124.88 : 574,840.20 = 331,133.20 : x
  2. Step 2: Convert to fraction form
    416,124.88/574,840.20 = 331,133.20/x
  3. Step 3: Cross multiply
    416,124.88x = 574,840.20 × 331,133.20
  4. Step 4: Simplify right side
    416,124.88x = 190,348,674,914.64
  5. Step 5: Solve for x
    x = 190,348,674,914.64/416,124.88
  6. Step 6: Final answer
    x = 457,431.61

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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.