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Finding the Fourth Proportional to 538,161.87, 742,659.93 and 296,438.84

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Solution

The fourth proportional to 538,161.87, 742,659.93 and 296,438.84 is: 409,083.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,161.87 : 742,659.93 = 296,438.84 : x
  2. Step 2: Convert to fraction form
    538,161.87/742,659.93 = 296,438.84/x
  3. Step 3: Cross multiply
    538,161.87x = 742,659.93 × 296,438.84
  4. Step 4: Simplify right side
    538,161.87x = 220,153,244,450.38
  5. Step 5: Solve for x
    x = 220,153,244,450.38/538,161.87
  6. Step 6: Final answer
    x = 409,083.69

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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.