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Finding the Fourth Proportional to 313,862.30, 470,793.46 and 114,189.20

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Solution

The fourth proportional to 313,862.30, 470,793.46 and 114,189.20 is: 171,283.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,862.30 : 470,793.46 = 114,189.20 : x
  2. Step 2: Convert to fraction form
    313,862.30/470,793.46 = 114,189.20/x
  3. Step 3: Cross multiply
    313,862.30x = 470,793.46 × 114,189.20
  4. Step 4: Simplify right side
    313,862.30x = 53,759,528,562.63
  5. Step 5: Solve for x
    x = 53,759,528,562.63/313,862.30
  6. Step 6: Final answer
    x = 171,283.80

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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.