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Finding the Fourth Proportional to 294,774.03, 407,096.93 and 203,131.60

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Solution

The fourth proportional to 294,774.03, 407,096.93 and 203,131.60 is: 280,534.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,774.03 : 407,096.93 = 203,131.60 : x
  2. Step 2: Convert to fraction form
    294,774.03/407,096.93 = 203,131.60/x
  3. Step 3: Cross multiply
    294,774.03x = 407,096.93 × 203,131.60
  4. Step 4: Simplify right side
    294,774.03x = 82,694,249,449.21
  5. Step 5: Solve for x
    x = 82,694,249,449.21/294,774.03
  6. Step 6: Final answer
    x = 280,534.38

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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.