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Finding the Fourth Proportional to 406,419.60, 610,022.88 and 196,205.04

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Solution

The fourth proportional to 406,419.60, 610,022.88 and 196,205.04 is: 294,497.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,419.60 : 610,022.88 = 196,205.04 : x
  2. Step 2: Convert to fraction form
    406,419.60/610,022.88 = 196,205.04/x
  3. Step 3: Cross multiply
    406,419.60x = 610,022.88 × 196,205.04
  4. Step 4: Simplify right side
    406,419.60x = 119,689,563,571.32
  5. Step 5: Solve for x
    x = 119,689,563,571.32/406,419.60
  6. Step 6: Final answer
    x = 294,497.52

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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.