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Finding the Fourth Proportional to 376,585.86, 519,686.46 and 204,502.29

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Solution

The fourth proportional to 376,585.86, 519,686.46 and 204,502.29 is: 282,212.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,585.86 : 519,686.46 = 204,502.29 : x
  2. Step 2: Convert to fraction form
    376,585.86/519,686.46 = 204,502.29/x
  3. Step 3: Cross multiply
    376,585.86x = 519,686.46 × 204,502.29
  4. Step 4: Simplify right side
    376,585.86x = 106,277,071,151.99
  5. Step 5: Solve for x
    x = 106,277,071,151.99/376,585.86
  6. Step 6: Final answer
    x = 282,212.06

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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.