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Finding the Fourth Proportional to 520,096.10, 780,144.15 and 436,115.30

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Solution

The fourth proportional to 520,096.10, 780,144.15 and 436,115.30 is: 654,172.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,096.10 : 780,144.15 = 436,115.30 : x
  2. Step 2: Convert to fraction form
    520,096.10/780,144.15 = 436,115.30/x
  3. Step 3: Cross multiply
    520,096.10x = 780,144.15 × 436,115.30
  4. Step 4: Simplify right side
    520,096.10x = 340,232,800,020.50
  5. Step 5: Solve for x
    x = 340,232,800,020.50/520,096.10
  6. Step 6: Final answer
    x = 654,172.95

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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.