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Finding the Fourth Proportional to 524,310.45, 786,463.22 and 164,507.64

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Solution

The fourth proportional to 524,310.45, 786,463.22 and 164,507.64 is: 246,760.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,310.45 : 786,463.22 = 164,507.64 : x
  2. Step 2: Convert to fraction form
    524,310.45/786,463.22 = 164,507.64/x
  3. Step 3: Cross multiply
    524,310.45x = 786,463.22 × 164,507.64
  4. Step 4: Simplify right side
    524,310.45x = 129,379,208,269.00
  5. Step 5: Solve for x
    x = 129,379,208,269.00/524,310.45
  6. Step 6: Final answer
    x = 246,760.69

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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.