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Finding the Fourth Proportional to 549,413.96, 823,951.38 and 194,346.32

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Solution

The fourth proportional to 549,413.96, 823,951.38 and 194,346.32 is: 291,459.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,413.96 : 823,951.38 = 194,346.32 : x
  2. Step 2: Convert to fraction form
    549,413.96/823,951.38 = 194,346.32/x
  3. Step 3: Cross multiply
    549,413.96x = 823,951.38 × 194,346.32
  4. Step 4: Simplify right side
    549,413.96x = 160,131,918,561.92
  5. Step 5: Solve for x
    x = 160,131,918,561.92/549,413.96
  6. Step 6: Final answer
    x = 291,459.50

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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.