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Finding the Fourth Proportional to 314,420.23, 433,885.61 and 171,179.96

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Solution

The fourth proportional to 314,420.23, 433,885.61 and 171,179.96 is: 236,220.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,420.23 : 433,885.61 = 171,179.96 : x
  2. Step 2: Convert to fraction form
    314,420.23/433,885.61 = 171,179.96/x
  3. Step 3: Cross multiply
    314,420.23x = 433,885.61 × 171,179.96
  4. Step 4: Simplify right side
    314,420.23x = 74,272,521,364.38
  5. Step 5: Solve for x
    x = 74,272,521,364.38/314,420.23
  6. Step 6: Final answer
    x = 236,220.56

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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.