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Finding the Fourth Proportional to 284,503.77, 426,478.29 and 113,674.56

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Solution

The fourth proportional to 284,503.77, 426,478.29 and 113,674.56 is: 170,401.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,503.77 : 426,478.29 = 113,674.56 : x
  2. Step 2: Convert to fraction form
    284,503.77/426,478.29 = 113,674.56/x
  3. Step 3: Cross multiply
    284,503.77x = 426,478.29 × 113,674.56
  4. Step 4: Simplify right side
    284,503.77x = 48,479,731,965.30
  5. Step 5: Solve for x
    x = 48,479,731,965.30/284,503.77
  6. Step 6: Final answer
    x = 170,401.02

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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.