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Finding the Fourth Proportional to 386,580.54, 579,731.76 and 133,792.41

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Solution

The fourth proportional to 386,580.54, 579,731.76 and 133,792.41 is: 200,640.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,580.54 : 579,731.76 = 133,792.41 : x
  2. Step 2: Convert to fraction form
    386,580.54/579,731.76 = 133,792.41/x
  3. Step 3: Cross multiply
    386,580.54x = 579,731.76 × 133,792.41
  4. Step 4: Simplify right side
    386,580.54x = 77,563,709,323.94
  5. Step 5: Solve for x
    x = 77,563,709,323.94/386,580.54
  6. Step 6: Final answer
    x = 200,640.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.