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Finding the Fourth Proportional to 284,463.46, 392,241.54 and 232,619.41

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Solution

The fourth proportional to 284,463.46, 392,241.54 and 232,619.41 is: 320,754.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,463.46 : 392,241.54 = 232,619.41 : x
  2. Step 2: Convert to fraction form
    284,463.46/392,241.54 = 232,619.41/x
  3. Step 3: Cross multiply
    284,463.46x = 392,241.54 × 232,619.41
  4. Step 4: Simplify right side
    284,463.46x = 91,242,995,666.43
  5. Step 5: Solve for x
    x = 91,242,995,666.43/284,463.46
  6. Step 6: Final answer
    x = 320,754.71

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1.5x scale

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.