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Finding the Fourth Proportional to 463,463.60, 694,158.60 and 380,519.60

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Solution

The fourth proportional to 463,463.60, 694,158.60 and 380,519.60 is: 569,928.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,463.60 : 694,158.60 = 380,519.60 : x
  2. Step 2: Convert to fraction form
    463,463.60/694,158.60 = 380,519.60/x
  3. Step 3: Cross multiply
    463,463.60x = 694,158.60 × 380,519.60
  4. Step 4: Simplify right side
    463,463.60x = 264,140,952,808.56
  5. Step 5: Solve for x
    x = 264,140,952,808.56/463,463.60
  6. Step 6: Final answer
    x = 569,928.15

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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.