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Finding the Fourth Proportional to 386,176.10, 532,893.93 and 216,377.42

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Solution

The fourth proportional to 386,176.10, 532,893.93 and 216,377.42 is: 298,584.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,176.10 : 532,893.93 = 216,377.42 : x
  2. Step 2: Convert to fraction form
    386,176.10/532,893.93 = 216,377.42/x
  3. Step 3: Cross multiply
    386,176.10x = 532,893.93 × 216,377.42
  4. Step 4: Simplify right side
    386,176.10x = 115,306,213,707.06
  5. Step 5: Solve for x
    x = 115,306,213,707.06/386,176.10
  6. Step 6: Final answer
    x = 298,584.54

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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.