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Finding the Fourth Proportional to 313,733.82, 432,955.43 and 170,493.86

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Solution

The fourth proportional to 313,733.82, 432,955.43 and 170,493.86 is: 235,283.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,733.82 : 432,955.43 = 170,493.86 : x
  2. Step 2: Convert to fraction form
    313,733.82/432,955.43 = 170,493.86/x
  3. Step 3: Cross multiply
    313,733.82x = 432,955.43 × 170,493.86
  4. Step 4: Simplify right side
    313,733.82x = 73,816,243,337.93
  5. Step 5: Solve for x
    x = 73,816,243,337.93/313,733.82
  6. Step 6: Final answer
    x = 235,283.03

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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.