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Finding the Fourth Proportional to 287,985.09, 431,627.43 and 203,769.53

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Solution

The fourth proportional to 287,985.09, 431,627.43 and 203,769.53 is: 305,406.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,985.09 : 431,627.43 = 203,769.53 : x
  2. Step 2: Convert to fraction form
    287,985.09/431,627.43 = 203,769.53/x
  3. Step 3: Cross multiply
    287,985.09x = 431,627.43 × 203,769.53
  4. Step 4: Simplify right side
    287,985.09x = 87,952,518,546.21
  5. Step 5: Solve for x
    x = 87,952,518,546.21/287,985.09
  6. Step 6: Final answer
    x = 305,406.50

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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.