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Finding the Fourth Proportional to 531,001.52, 796,502.28 and 309,230

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Solution

The fourth proportional to 531,001.52, 796,502.28 and 309,230 is: 463,845

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,001.52 : 796,502.28 = 309,230 : x
  2. Step 2: Convert to fraction form
    531,001.52/796,502.28 = 309,230/x
  3. Step 3: Cross multiply
    531,001.52x = 796,502.28 × 309,230
  4. Step 4: Simplify right side
    531,001.52x = 246,302,400,044.40
  5. Step 5: Solve for x
    x = 246,302,400,044.40/531,001.52
  6. Step 6: Final answer
    x = 463,845

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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.