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Finding the Fourth Proportional to 284,955.54, 427,275.30 and 116,593.98

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Solution

The fourth proportional to 284,955.54, 427,275.30 and 116,593.98 is: 174,826.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,955.54 : 427,275.30 = 116,593.98 : x
  2. Step 2: Convert to fraction form
    284,955.54/427,275.30 = 116,593.98/x
  3. Step 3: Cross multiply
    284,955.54x = 427,275.30 × 116,593.98
  4. Step 4: Simplify right side
    284,955.54x = 49,817,727,782.69
  5. Step 5: Solve for x
    x = 49,817,727,782.69/284,955.54
  6. Step 6: Final answer
    x = 174,826.32

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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.