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Finding the Fourth Proportional to 284,783.24, 393,008.76 and 157,463.39

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Solution

The fourth proportional to 284,783.24, 393,008.76 and 157,463.39 is: 217,303.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,783.24 : 393,008.76 = 157,463.39 : x
  2. Step 2: Convert to fraction form
    284,783.24/393,008.76 = 157,463.39/x
  3. Step 3: Cross multiply
    284,783.24x = 393,008.76 × 157,463.39
  4. Step 4: Simplify right side
    284,783.24x = 61,884,491,649.30
  5. Step 5: Solve for x
    x = 61,884,491,649.30/284,783.24
  6. Step 6: Final answer
    x = 217,303.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.