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Finding the Fourth Proportional to 406,869.80, 610,401.90 and 196,334.60

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Solution

The fourth proportional to 406,869.80, 610,401.90 and 196,334.60 is: 294,548.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,869.80 : 610,401.90 = 196,334.60 : x
  2. Step 2: Convert to fraction form
    406,869.80/610,401.90 = 196,334.60/x
  3. Step 3: Cross multiply
    406,869.80x = 610,401.90 × 196,334.60
  4. Step 4: Simplify right side
    406,869.80x = 119,843,012,875.74
  5. Step 5: Solve for x
    x = 119,843,012,875.74/406,869.80
  6. Step 6: Final answer
    x = 294,548.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.