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Finding the Fourth Proportional to 375,916.82, 518,762.93 and 203,833.08

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Solution

The fourth proportional to 375,916.82, 518,762.93 and 203,833.08 is: 281,288.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,916.82 : 518,762.93 = 203,833.08 : x
  2. Step 2: Convert to fraction form
    375,916.82/518,762.93 = 203,833.08/x
  3. Step 3: Cross multiply
    375,916.82x = 518,762.93 × 203,833.08
  4. Step 4: Simplify right side
    375,916.82x = 105,741,044,792.56
  5. Step 5: Solve for x
    x = 105,741,044,792.56/375,916.82
  6. Step 6: Final answer
    x = 281,288.41

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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.