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Finding the Fourth Proportional to 513,492.38, 770,049.96 and 176,437.42

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Solution

The fourth proportional to 513,492.38, 770,049.96 and 176,437.42 is: 264,591.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,492.38 : 770,049.96 = 176,437.42 : x
  2. Step 2: Convert to fraction form
    513,492.38/770,049.96 = 176,437.42/x
  3. Step 3: Cross multiply
    513,492.38x = 770,049.96 × 176,437.42
  4. Step 4: Simplify right side
    513,492.38x = 135,865,628,213.50
  5. Step 5: Solve for x
    x = 135,865,628,213.50/513,492.38
  6. Step 6: Final answer
    x = 264,591.32

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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.