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Finding the Fourth Proportional to 506,096, 698,413.32 and 279,741.50

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Solution

The fourth proportional to 506,096, 698,413.32 and 279,741.50 is: 386,043.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,096 : 698,413.32 = 279,741.50 : x
  2. Step 2: Convert to fraction form
    506,096/698,413.32 = 279,741.50/x
  3. Step 3: Cross multiply
    506,096x = 698,413.32 × 279,741.50
  4. Step 4: Simplify right side
    506,096x = 195,375,189,756.78
  5. Step 5: Solve for x
    x = 195,375,189,756.78/506,096
  6. Step 6: Final answer
    x = 386,043.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.