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Finding the Fourth Proportional to 284,873.82, 393,132.75 and 155,824.41

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Solution

The fourth proportional to 284,873.82, 393,132.75 and 155,824.41 is: 215,041.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,873.82 : 393,132.75 = 155,824.41 : x
  2. Step 2: Convert to fraction form
    284,873.82/393,132.75 = 155,824.41/x
  3. Step 3: Cross multiply
    284,873.82x = 393,132.75 × 155,824.41
  4. Step 4: Simplify right side
    284,873.82x = 61,259,678,820.43
  5. Step 5: Solve for x
    x = 61,259,678,820.43/284,873.82
  6. Step 6: Final answer
    x = 215,041.45

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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.