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Finding the Fourth Proportional to 524,832.30, 786,082.05 and 431,520.30

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Solution

The fourth proportional to 524,832.30, 786,082.05 and 431,520.30 is: 646,321.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,832.30 : 786,082.05 = 431,520.30 : x
  2. Step 2: Convert to fraction form
    524,832.30/786,082.05 = 431,520.30/x
  3. Step 3: Cross multiply
    524,832.30x = 786,082.05 × 431,520.30
  4. Step 4: Simplify right side
    524,832.30x = 339,210,362,040.62
  5. Step 5: Solve for x
    x = 339,210,362,040.62/524,832.30
  6. Step 6: Final answer
    x = 646,321.43

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1.5x scale

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.