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Finding the Fourth Proportional to 490,592.70, 735,342.30 and 190,973.70

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Solution

The fourth proportional to 490,592.70, 735,342.30 and 190,973.70 is: 286,247.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,592.70 : 735,342.30 = 190,973.70 : x
  2. Step 2: Convert to fraction form
    490,592.70/735,342.30 = 190,973.70/x
  3. Step 3: Cross multiply
    490,592.70x = 735,342.30 × 190,973.70
  4. Step 4: Simplify right side
    490,592.70x = 140,431,039,797.51
  5. Step 5: Solve for x
    x = 140,431,039,797.51/490,592.70
  6. Step 6: Final answer
    x = 286,247.72

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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.