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Finding the Fourth Proportional to 537,860.90, 742,241.94 and 296,138.54

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Solution

The fourth proportional to 537,860.90, 742,241.94 and 296,138.54 is: 408,667.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,860.90 : 742,241.94 = 296,138.54 : x
  2. Step 2: Convert to fraction form
    537,860.90/742,241.94 = 296,138.54/x
  3. Step 3: Cross multiply
    537,860.90x = 742,241.94 × 296,138.54
  4. Step 4: Simplify right side
    537,860.90x = 219,806,444,438.37
  5. Step 5: Solve for x
    x = 219,806,444,438.37/537,860.90
  6. Step 6: Final answer
    x = 408,667.83

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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.