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Finding the Fourth Proportional to 313,263.38, 432,303.89 and 170,023.44

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Solution

The fourth proportional to 313,263.38, 432,303.89 and 170,023.44 is: 234,632.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,263.38 : 432,303.89 = 170,023.44 : x
  2. Step 2: Convert to fraction form
    313,263.38/432,303.89 = 170,023.44/x
  3. Step 3: Cross multiply
    313,263.38x = 432,303.89 × 170,023.44
  4. Step 4: Simplify right side
    313,263.38x = 73,501,795,274.20
  5. Step 5: Solve for x
    x = 73,501,795,274.20/313,263.38
  6. Step 6: Final answer
    x = 234,632.58

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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.