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Finding the Fourth Proportional to 314,407.72, 433,882.52 and 171,167.72

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Solution

The fourth proportional to 314,407.72, 433,882.52 and 171,167.72 is: 236,211.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,407.72 : 433,882.52 = 171,167.72 : x
  2. Step 2: Convert to fraction form
    314,407.72/433,882.52 = 171,167.72/x
  3. Step 3: Cross multiply
    314,407.72x = 433,882.52 × 171,167.72
  4. Step 4: Simplify right side
    314,407.72x = 74,266,682,124.17
  5. Step 5: Solve for x
    x = 74,266,682,124.17/314,407.72
  6. Step 6: Final answer
    x = 236,211.39

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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.