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Finding the Fourth Proportional to 294,798.88, 406,776.89 and 165,713.43

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Solution

The fourth proportional to 294,798.88, 406,776.89 and 165,713.43 is: 228,658.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,798.88 : 406,776.89 = 165,713.43 : x
  2. Step 2: Convert to fraction form
    294,798.88/406,776.89 = 165,713.43/x
  3. Step 3: Cross multiply
    294,798.88x = 406,776.89 × 165,713.43
  4. Step 4: Simplify right side
    294,798.88x = 67,408,394,100.92
  5. Step 5: Solve for x
    x = 67,408,394,100.92/294,798.88
  6. Step 6: Final answer
    x = 228,658.92

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1.5x scale

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.