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Finding the Fourth Proportional to 406,997.40, 610,323.30 and 196,699.80

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Solution

The fourth proportional to 406,997.40, 610,323.30 and 196,699.80 is: 294,966.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,997.40 : 610,323.30 = 196,699.80 : x
  2. Step 2: Convert to fraction form
    406,997.40/610,323.30 = 196,699.80/x
  3. Step 3: Cross multiply
    406,997.40x = 610,323.30 × 196,699.80
  4. Step 4: Simplify right side
    406,997.40x = 120,050,471,045.34
  5. Step 5: Solve for x
    x = 120,050,471,045.34/406,997.40
  6. Step 6: Final answer
    x = 294,966.19

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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.