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Finding the Fourth Proportional to 291,713.40, 437,570.10 and 166,951.80

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Solution

The fourth proportional to 291,713.40, 437,570.10 and 166,951.80 is: 250,427.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,713.40 : 437,570.10 = 166,951.80 : x
  2. Step 2: Convert to fraction form
    291,713.40/437,570.10 = 166,951.80/x
  3. Step 3: Cross multiply
    291,713.40x = 437,570.10 × 166,951.80
  4. Step 4: Simplify right side
    291,713.40x = 73,053,115,821.18
  5. Step 5: Solve for x
    x = 73,053,115,821.18/291,713.40
  6. Step 6: Final answer
    x = 250,427.70

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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.