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Finding the Fourth Proportional to 294,559.59, 406,467.26 and 165,487.95

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Solution

The fourth proportional to 294,559.59, 406,467.26 and 165,487.95 is: 228,359.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,559.59 : 406,467.26 = 165,487.95 : x
  2. Step 2: Convert to fraction form
    294,559.59/406,467.26 = 165,487.95/x
  3. Step 3: Cross multiply
    294,559.59x = 406,467.26 × 165,487.95
  4. Step 4: Simplify right side
    294,559.59x = 67,265,433,599.52
  5. Step 5: Solve for x
    x = 67,265,433,599.52/294,559.59
  6. Step 6: Final answer
    x = 228,359.34

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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.