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Finding the Fourth Proportional to 284,952.53, 427,406.61 and 116,427.98

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Solution

The fourth proportional to 284,952.53, 427,406.61 and 116,427.98 is: 174,632.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,952.53 : 427,406.61 = 116,427.98 : x
  2. Step 2: Convert to fraction form
    284,952.53/427,406.61 = 116,427.98/x
  3. Step 3: Cross multiply
    284,952.53x = 427,406.61 × 116,427.98
  4. Step 4: Simplify right side
    284,952.53x = 49,762,088,240.95
  5. Step 5: Solve for x
    x = 49,762,088,240.95/284,952.53
  6. Step 6: Final answer
    x = 174,632.91

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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.