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Finding the Fourth Proportional to 362,014.61, 499,580.10 and 200,870.78

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Solution

The fourth proportional to 362,014.61, 499,580.10 and 200,870.78 is: 277,201.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,014.61 : 499,580.10 = 200,870.78 : x
  2. Step 2: Convert to fraction form
    362,014.61/499,580.10 = 200,870.78/x
  3. Step 3: Cross multiply
    362,014.61x = 499,580.10 × 200,870.78
  4. Step 4: Simplify right side
    362,014.61x = 100,351,041,861.58
  5. Step 5: Solve for x
    x = 100,351,041,861.58/362,014.61
  6. Step 6: Final answer
    x = 277,201.64

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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.