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Finding the Fourth Proportional to 313,255.56, 432,296.82 and 170,017.32

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Solution

The fourth proportional to 313,255.56, 432,296.82 and 170,017.32 is: 234,626.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,255.56 : 432,296.82 = 170,017.32 : x
  2. Step 2: Convert to fraction form
    313,255.56/432,296.82 = 170,017.32/x
  3. Step 3: Cross multiply
    313,255.56x = 432,296.82 × 170,017.32
  4. Step 4: Simplify right side
    313,255.56x = 73,497,946,780.92
  5. Step 5: Solve for x
    x = 73,497,946,780.92/313,255.56
  6. Step 6: Final answer
    x = 234,626.15

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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.