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Finding the Fourth Proportional to 406,420.60, 610,024.38 and 196,206.04

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Solution

The fourth proportional to 406,420.60, 610,024.38 and 196,206.04 is: 294,499.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,420.60 : 610,024.38 = 196,206.04 : x
  2. Step 2: Convert to fraction form
    406,420.60/610,024.38 = 196,206.04/x
  3. Step 3: Cross multiply
    406,420.60x = 610,024.38 × 196,206.04
  4. Step 4: Simplify right side
    406,420.60x = 119,690,467,903.26
  5. Step 5: Solve for x
    x = 119,690,467,903.26/406,420.60
  6. Step 6: Final answer
    x = 294,499.02

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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.