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Finding the Fourth Proportional to 314,735.20, 472,102.80 and 146,255.20

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Solution

The fourth proportional to 314,735.20, 472,102.80 and 146,255.20 is: 219,382.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,735.20 : 472,102.80 = 146,255.20 : x
  2. Step 2: Convert to fraction form
    314,735.20/472,102.80 = 146,255.20/x
  3. Step 3: Cross multiply
    314,735.20x = 472,102.80 × 146,255.20
  4. Step 4: Simplify right side
    314,735.20x = 69,047,489,434.56
  5. Step 5: Solve for x
    x = 69,047,489,434.56/314,735.20
  6. Step 6: Final answer
    x = 219,382.80

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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.