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Finding the Fourth Proportional to 314,702.34, 434,294.19 and 171,462.33

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Solution

The fourth proportional to 314,702.34, 434,294.19 and 171,462.33 is: 236,620.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,702.34 : 434,294.19 = 171,462.33 : x
  2. Step 2: Convert to fraction form
    314,702.34/434,294.19 = 171,462.33/x
  3. Step 3: Cross multiply
    314,702.34x = 434,294.19 × 171,462.33
  4. Step 4: Simplify right side
    314,702.34x = 74,465,093,722.86
  5. Step 5: Solve for x
    x = 74,465,093,722.86/314,702.34
  6. Step 6: Final answer
    x = 236,620.72

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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.