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Finding the Fourth Proportional to 314,462.46, 433,958.73 and 171,223.11

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Solution

The fourth proportional to 314,462.46, 433,958.73 and 171,223.11 is: 236,288.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,462.46 : 433,958.73 = 171,223.11 : x
  2. Step 2: Convert to fraction form
    314,462.46/433,958.73 = 171,223.11/x
  3. Step 3: Cross multiply
    314,462.46x = 433,958.73 × 171,223.11
  4. Step 4: Simplify right side
    314,462.46x = 74,303,763,362.25
  5. Step 5: Solve for x
    x = 74,303,763,362.25/314,462.46
  6. Step 6: Final answer
    x = 236,288.18

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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.