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Finding the Fourth Proportional to 375,916.94, 518,717.57 and 214,782.42

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Solution

The fourth proportional to 375,916.94, 518,717.57 and 214,782.42 is: 296,372.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,916.94 : 518,717.57 = 214,782.42 : x
  2. Step 2: Convert to fraction form
    375,916.94/518,717.57 = 214,782.42/x
  3. Step 3: Cross multiply
    375,916.94x = 518,717.57 × 214,782.42
  4. Step 4: Simplify right side
    375,916.94x = 111,411,414,981.12
  5. Step 5: Solve for x
    x = 111,411,414,981.12/375,916.94
  6. Step 6: Final answer
    x = 296,372.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.