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Finding the Fourth Proportional to 294,302.57, 406,125.29 and 166,985.15

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Solution

The fourth proportional to 294,302.57, 406,125.29 and 166,985.15 is: 230,432.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,302.57 : 406,125.29 = 166,985.15 : x
  2. Step 2: Convert to fraction form
    294,302.57/406,125.29 = 166,985.15/x
  3. Step 3: Cross multiply
    294,302.57x = 406,125.29 × 166,985.15
  4. Step 4: Simplify right side
    294,302.57x = 67,816,890,856.28
  5. Step 5: Solve for x
    x = 67,816,890,856.28/294,302.57
  6. Step 6: Final answer
    x = 230,432.55

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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.