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Finding the Fourth Proportional to 287,999.50, 431,648.85 and 203,783.89

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Solution

The fourth proportional to 287,999.50, 431,648.85 and 203,783.89 is: 305,427.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,999.50 : 431,648.85 = 203,783.89 : x
  2. Step 2: Convert to fraction form
    287,999.50/431,648.85 = 203,783.89/x
  3. Step 3: Cross multiply
    287,999.50x = 431,648.85 × 203,783.89
  4. Step 4: Simplify right side
    287,999.50x = 87,963,081,767.03
  5. Step 5: Solve for x
    x = 87,963,081,767.03/287,999.50
  6. Step 6: Final answer
    x = 305,427.90

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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.