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Finding the Fourth Proportional to 314,222.94, 433,620.57 and 170,983.38

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Solution

The fourth proportional to 314,222.94, 433,620.57 and 170,983.38 is: 235,953.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,222.94 : 433,620.57 = 170,983.38 : x
  2. Step 2: Convert to fraction form
    314,222.94/433,620.57 = 170,983.38/x
  3. Step 3: Cross multiply
    314,222.94x = 433,620.57 × 170,983.38
  4. Step 4: Simplify right side
    314,222.94x = 74,141,910,696.13
  5. Step 5: Solve for x
    x = 74,141,910,696.13/314,222.94
  6. Step 6: Final answer
    x = 235,953.21

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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.