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Finding the Fourth Proportional to 317,620.64, 476,010.41 and 232,984.55

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Solution

The fourth proportional to 317,620.64, 476,010.41 and 232,984.55 is: 349,168.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,620.64 : 476,010.41 = 232,984.55 : x
  2. Step 2: Convert to fraction form
    317,620.64/476,010.41 = 232,984.55/x
  3. Step 3: Cross multiply
    317,620.64x = 476,010.41 × 232,984.55
  4. Step 4: Simplify right side
    317,620.64x = 110,903,071,194.27
  5. Step 5: Solve for x
    x = 110,903,071,194.27/317,620.64
  6. Step 6: Final answer
    x = 349,168.34

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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.