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Finding the Fourth Proportional to 406,779.30, 610,266.15 and 196,244.10

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Solution

The fourth proportional to 406,779.30, 610,266.15 and 196,244.10 is: 294,413.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,779.30 : 610,266.15 = 196,244.10 : x
  2. Step 2: Convert to fraction form
    406,779.30/610,266.15 = 196,244.10/x
  3. Step 3: Cross multiply
    406,779.30x = 610,266.15 × 196,244.10
  4. Step 4: Simplify right side
    406,779.30x = 119,761,131,367.22
  5. Step 5: Solve for x
    x = 119,761,131,367.22/406,779.30
  6. Step 6: Final answer
    x = 294,413.04

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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.