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Finding the Fourth Proportional to 406,413.40, 609,620.10 and 169,754.20

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Solution

The fourth proportional to 406,413.40, 609,620.10 and 169,754.20 is: 254,631.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,413.40 : 609,620.10 = 169,754.20 : x
  2. Step 2: Convert to fraction form
    406,413.40/609,620.10 = 169,754.20/x
  3. Step 3: Cross multiply
    406,413.40x = 609,620.10 × 169,754.20
  4. Step 4: Simplify right side
    406,413.40x = 103,485,572,379.42
  5. Step 5: Solve for x
    x = 103,485,572,379.42/406,413.40
  6. Step 6: Final answer
    x = 254,631.30

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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.