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Finding the Fourth Proportional to 531,005.52, 796,508.28 and 309,234

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Solution

The fourth proportional to 531,005.52, 796,508.28 and 309,234 is: 463,851

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,005.52 : 796,508.28 = 309,234 : x
  2. Step 2: Convert to fraction form
    531,005.52/796,508.28 = 309,234/x
  3. Step 3: Cross multiply
    531,005.52x = 796,508.28 × 309,234
  4. Step 4: Simplify right side
    531,005.52x = 246,307,441,457.52
  5. Step 5: Solve for x
    x = 246,307,441,457.52/531,005.52
  6. Step 6: Final answer
    x = 463,851

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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.