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Finding the Fourth Proportional to 406,946.40, 610,246.80 and 196,648.80

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Solution

The fourth proportional to 406,946.40, 610,246.80 and 196,648.80 is: 294,889.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,946.40 : 610,246.80 = 196,648.80 : x
  2. Step 2: Convert to fraction form
    406,946.40/610,246.80 = 196,648.80/x
  3. Step 3: Cross multiply
    406,946.40x = 610,246.80 × 196,648.80
  4. Step 4: Simplify right side
    406,946.40x = 120,004,300,923.84
  5. Step 5: Solve for x
    x = 120,004,300,923.84/406,946.40
  6. Step 6: Final answer
    x = 294,889.70

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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.