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Finding the Fourth Proportional to 315,977.43, 474,000.71 and 116,393.43

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Solution

The fourth proportional to 315,977.43, 474,000.71 and 116,393.43 is: 174,602.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,977.43 : 474,000.71 = 116,393.43 : x
  2. Step 2: Convert to fraction form
    315,977.43/474,000.71 = 116,393.43/x
  3. Step 3: Cross multiply
    315,977.43x = 474,000.71 × 116,393.43
  4. Step 4: Simplify right side
    315,977.43x = 55,170,567,877.37
  5. Step 5: Solve for x
    x = 55,170,567,877.37/315,977.43
  6. Step 6: Final answer
    x = 174,602.88

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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.