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Finding the Fourth Proportional to 458,857.64, 633,202.98 and 254,922.86

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Solution

The fourth proportional to 458,857.64, 633,202.98 and 254,922.86 is: 351,782.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,857.64 : 633,202.98 = 254,922.86 : x
  2. Step 2: Convert to fraction form
    458,857.64/633,202.98 = 254,922.86/x
  3. Step 3: Cross multiply
    458,857.64x = 633,202.98 × 254,922.86
  4. Step 4: Simplify right side
    458,857.64x = 161,417,914,622.12
  5. Step 5: Solve for x
    x = 161,417,914,622.12/458,857.64
  6. Step 6: Final answer
    x = 351,782.12

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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.