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Finding the Fourth Proportional to 376,413.20, 564,619.80 and 165,827.60

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Solution

The fourth proportional to 376,413.20, 564,619.80 and 165,827.60 is: 248,741.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,413.20 : 564,619.80 = 165,827.60 : x
  2. Step 2: Convert to fraction form
    376,413.20/564,619.80 = 165,827.60/x
  3. Step 3: Cross multiply
    376,413.20x = 564,619.80 × 165,827.60
  4. Step 4: Simplify right side
    376,413.20x = 93,629,546,346.48
  5. Step 5: Solve for x
    x = 93,629,546,346.48/376,413.20
  6. Step 6: Final answer
    x = 248,741.40

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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.