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Finding the Fourth Proportional to 492,284.36, 739,967.94 and 324,880.46

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Solution

The fourth proportional to 492,284.36, 739,967.94 and 324,880.46 is: 488,337.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,284.36 : 739,967.94 = 324,880.46 : x
  2. Step 2: Convert to fraction form
    492,284.36/739,967.94 = 324,880.46/x
  3. Step 3: Cross multiply
    492,284.36x = 739,967.94 × 324,880.46
  4. Step 4: Simplify right side
    492,284.36x = 240,401,124,732.45
  5. Step 5: Solve for x
    x = 240,401,124,732.45/492,284.36
  6. Step 6: Final answer
    x = 488,337.93

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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.