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Finding the Fourth Proportional to 382,640.76, 528,772.56 and 286,981.38

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Solution

The fourth proportional to 382,640.76, 528,772.56 and 286,981.38 is: 396,580.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,640.76 : 528,772.56 = 286,981.38 : x
  2. Step 2: Convert to fraction form
    382,640.76/528,772.56 = 286,981.38/x
  3. Step 3: Cross multiply
    382,640.76x = 528,772.56 × 286,981.38
  4. Step 4: Simplify right side
    382,640.76x = 151,747,878,974.93
  5. Step 5: Solve for x
    x = 151,747,878,974.93/382,640.76
  6. Step 6: Final answer
    x = 396,580.54

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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.