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Finding the Fourth Proportional to 309,044.90, 463,580.52 and 109,366.94

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Solution

The fourth proportional to 309,044.90, 463,580.52 and 109,366.94 is: 164,055.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,044.90 : 463,580.52 = 109,366.94 : x
  2. Step 2: Convert to fraction form
    309,044.90/463,580.52 = 109,366.94/x
  3. Step 3: Cross multiply
    309,044.90x = 463,580.52 × 109,366.94
  4. Step 4: Simplify right side
    309,044.90x = 50,700,382,916.01
  5. Step 5: Solve for x
    x = 50,700,382,916.01/309,044.90
  6. Step 6: Final answer
    x = 164,055.07

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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.