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Finding the Fourth Proportional to 294,810.89, 406,853.43 and 165,789.95

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Solution

The fourth proportional to 294,810.89, 406,853.43 and 165,789.95 is: 228,798.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,810.89 : 406,853.43 = 165,789.95 : x
  2. Step 2: Convert to fraction form
    294,810.89/406,853.43 = 165,789.95/x
  3. Step 3: Cross multiply
    294,810.89x = 406,853.43 × 165,789.95
  4. Step 4: Simplify right side
    294,810.89x = 67,452,209,817.03
  5. Step 5: Solve for x
    x = 67,452,209,817.03/294,810.89
  6. Step 6: Final answer
    x = 228,798.23

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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.