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Finding the Fourth Proportional to 490,164.20, 735,246.30 and 174,631.40

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Solution

The fourth proportional to 490,164.20, 735,246.30 and 174,631.40 is: 261,947.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,164.20 : 735,246.30 = 174,631.40 : x
  2. Step 2: Convert to fraction form
    490,164.20/735,246.30 = 174,631.40/x
  3. Step 3: Cross multiply
    490,164.20x = 735,246.30 × 174,631.40
  4. Step 4: Simplify right side
    490,164.20x = 128,397,090,713.82
  5. Step 5: Solve for x
    x = 128,397,090,713.82/490,164.20
  6. Step 6: Final answer
    x = 261,947.10

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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.