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Finding the Fourth Proportional to 294,668.84, 406,692.32 and 173,840.12

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Solution

The fourth proportional to 294,668.84, 406,692.32 and 173,840.12 is: 239,928.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,668.84 : 406,692.32 = 173,840.12 : x
  2. Step 2: Convert to fraction form
    294,668.84/406,692.32 = 173,840.12/x
  3. Step 3: Cross multiply
    294,668.84x = 406,692.32 × 173,840.12
  4. Step 4: Simplify right side
    294,668.84x = 70,699,441,711.88
  5. Step 5: Solve for x
    x = 70,699,441,711.88/294,668.84
  6. Step 6: Final answer
    x = 239,928.46

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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.