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Finding the Fourth Proportional to 313,425.83, 432,529.26 and 170,185.83

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Solution

The fourth proportional to 313,425.83, 432,529.26 and 170,185.83 is: 234,857.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,425.83 : 432,529.26 = 170,185.83 : x
  2. Step 2: Convert to fraction form
    313,425.83/432,529.26 = 170,185.83/x
  3. Step 3: Cross multiply
    313,425.83x = 432,529.26 × 170,185.83
  4. Step 4: Simplify right side
    313,425.83x = 73,610,351,112.39
  5. Step 5: Solve for x
    x = 73,610,351,112.39/313,425.83
  6. Step 6: Final answer
    x = 234,857.33

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1.5x scale

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.