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Finding the Fourth Proportional to 477,861.12, 716,915.79 and 178,343.96

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Solution

The fourth proportional to 477,861.12, 716,915.79 and 178,343.96 is: 267,562.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,861.12 : 716,915.79 = 178,343.96 : x
  2. Step 2: Convert to fraction form
    477,861.12/716,915.79 = 178,343.96/x
  3. Step 3: Cross multiply
    477,861.12x = 716,915.79 × 178,343.96
  4. Step 4: Simplify right side
    477,861.12x = 127,857,597,390.55
  5. Step 5: Solve for x
    x = 127,857,597,390.55/477,861.12
  6. Step 6: Final answer
    x = 267,562.25

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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.