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Finding the Fourth Proportional to 421,244.88, 632,043.12 and 184,757.28

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Solution

The fourth proportional to 421,244.88, 632,043.12 and 184,757.28 is: 277,213.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,244.88 : 632,043.12 = 184,757.28 : x
  2. Step 2: Convert to fraction form
    421,244.88/632,043.12 = 184,757.28/x
  3. Step 3: Cross multiply
    421,244.88x = 632,043.12 × 184,757.28
  4. Step 4: Simplify right side
    421,244.88x = 116,774,567,693.91
  5. Step 5: Solve for x
    x = 116,774,567,693.91/421,244.88
  6. Step 6: Final answer
    x = 277,213.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.