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Finding the Fourth Proportional to 524,308.45, 786,460.22 and 164,505.64

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Solution

The fourth proportional to 524,308.45, 786,460.22 and 164,505.64 is: 246,757.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,308.45 : 786,460.22 = 164,505.64 : x
  2. Step 2: Convert to fraction form
    524,308.45/786,460.22 = 164,505.64/x
  3. Step 3: Cross multiply
    524,308.45x = 786,460.22 × 164,505.64
  4. Step 4: Simplify right side
    524,308.45x = 129,377,137,893.34
  5. Step 5: Solve for x
    x = 129,377,137,893.34/524,308.45
  6. Step 6: Final answer
    x = 246,757.68

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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.