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Finding the Fourth Proportional to 313,546.74, 432,696.83 and 170,306.74

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Solution

The fourth proportional to 313,546.74, 432,696.83 and 170,306.74 is: 235,024.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,546.74 : 432,696.83 = 170,306.74 : x
  2. Step 2: Convert to fraction form
    313,546.74/432,696.83 = 170,306.74/x
  3. Step 3: Cross multiply
    313,546.74x = 432,696.83 × 170,306.74
  4. Step 4: Simplify right side
    313,546.74x = 73,691,186,525.63
  5. Step 5: Solve for x
    x = 73,691,186,525.63/313,546.74
  6. Step 6: Final answer
    x = 235,024.57

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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.