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Finding the Fourth Proportional to 313,773.85, 433,007.97 and 170,533.89

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Solution

The fourth proportional to 313,773.85, 433,007.97 and 170,533.89 is: 235,336.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,773.85 : 433,007.97 = 170,533.89 : x
  2. Step 2: Convert to fraction form
    313,773.85/433,007.97 = 170,533.89/x
  3. Step 3: Cross multiply
    313,773.85x = 433,007.97 × 170,533.89
  4. Step 4: Simplify right side
    313,773.85x = 73,842,532,885.60
  5. Step 5: Solve for x
    x = 73,842,532,885.60/313,773.85
  6. Step 6: Final answer
    x = 235,336.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.