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Finding the Fourth Proportional to 531,002.52, 796,503.78 and 309,231

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Solution

The fourth proportional to 531,002.52, 796,503.78 and 309,231 is: 463,846.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,002.52 : 796,503.78 = 309,231 : x
  2. Step 2: Convert to fraction form
    531,002.52/796,503.78 = 309,231/x
  3. Step 3: Cross multiply
    531,002.52x = 796,503.78 × 309,231
  4. Step 4: Simplify right side
    531,002.52x = 246,303,660,393.18
  5. Step 5: Solve for x
    x = 246,303,660,393.18/531,002.52
  6. Step 6: Final answer
    x = 463,846.50

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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.