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Finding the Fourth Proportional to 493,906.32, 740,842.62 and 209,413.74

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Solution

The fourth proportional to 493,906.32, 740,842.62 and 209,413.74 is: 314,113.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,906.32 : 740,842.62 = 209,413.74 : x
  2. Step 2: Convert to fraction form
    493,906.32/740,842.62 = 209,413.74/x
  3. Step 3: Cross multiply
    493,906.32x = 740,842.62 × 209,413.74
  4. Step 4: Simplify right side
    493,906.32x = 155,142,623,805.60
  5. Step 5: Solve for x
    x = 155,142,623,805.60/493,906.32
  6. Step 6: Final answer
    x = 314,113.46

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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.