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Finding the Fourth Proportional to 345,668.12, 477,021.78 and 186,692.12

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Solution

The fourth proportional to 345,668.12, 477,021.78 and 186,692.12 is: 257,635.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,668.12 : 477,021.78 = 186,692.12 : x
  2. Step 2: Convert to fraction form
    345,668.12/477,021.78 = 186,692.12/x
  3. Step 3: Cross multiply
    345,668.12x = 477,021.78 × 186,692.12
  4. Step 4: Simplify right side
    345,668.12x = 89,056,207,394.37
  5. Step 5: Solve for x
    x = 89,056,207,394.37/345,668.12
  6. Step 6: Final answer
    x = 257,635.00

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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.