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Finding the Fourth Proportional to 313,903.20, 470,077.20 and 251,695.20

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Solution

The fourth proportional to 313,903.20, 470,077.20 and 251,695.20 is: 376,919.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,903.20 : 470,077.20 = 251,695.20 : x
  2. Step 2: Convert to fraction form
    313,903.20/470,077.20 = 251,695.20/x
  3. Step 3: Cross multiply
    313,903.20x = 470,077.20 × 251,695.20
  4. Step 4: Simplify right side
    313,903.20x = 118,316,174,869.44
  5. Step 5: Solve for x
    x = 118,316,174,869.44/313,903.20
  6. Step 6: Final answer
    x = 376,919.30

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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.