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Finding the Fourth Proportional to 294,805.62, 406,846.19 and 165,784.70

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Solution

The fourth proportional to 294,805.62, 406,846.19 and 165,784.70 is: 228,791.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,805.62 : 406,846.19 = 165,784.70 : x
  2. Step 2: Convert to fraction form
    294,805.62/406,846.19 = 165,784.70/x
  3. Step 3: Cross multiply
    294,805.62x = 406,846.19 × 165,784.70
  4. Step 4: Simplify right side
    294,805.62x = 67,448,873,555.29
  5. Step 5: Solve for x
    x = 67,448,873,555.29/294,805.62
  6. Step 6: Final answer
    x = 228,791.00

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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.