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Finding the Fourth Proportional to 314,384.45, 433,850.61 and 171,144.45

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Solution

The fourth proportional to 314,384.45, 433,850.61 and 171,144.45 is: 236,179.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,384.45 : 433,850.61 = 171,144.45 : x
  2. Step 2: Convert to fraction form
    314,384.45/433,850.61 = 171,144.45/x
  3. Step 3: Cross multiply
    314,384.45x = 433,850.61 × 171,144.45
  4. Step 4: Simplify right side
    314,384.45x = 74,251,124,030.61
  5. Step 5: Solve for x
    x = 74,251,124,030.61/314,384.45
  6. Step 6: Final answer
    x = 236,179.38

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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.