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Finding the Fourth Proportional to 492,099.15, 736,982.33 and 492,099.15

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Solution

The fourth proportional to 492,099.15, 736,982.33 and 492,099.15 is: 736,982.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,099.15 : 736,982.33 = 492,099.15 : x
  2. Step 2: Convert to fraction form
    492,099.15/736,982.33 = 492,099.15/x
  3. Step 3: Cross multiply
    492,099.15x = 736,982.33 × 492,099.15
  4. Step 4: Simplify right side
    492,099.15x = 362,668,375,697.52
  5. Step 5: Solve for x
    x = 362,668,375,697.52/492,099.15
  6. Step 6: Final answer
    x = 736,982.33

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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.